9900

9900 = 2 x 2 x 3 x 3 x 5 x 5 x 11.

9900 is a pronic number, the product of two consecutive integers: 9900 = 99 x 100.

9900 has two distinct digits in base 2 (10011010101100), base 10 (9900), base 19 (1881), and base 21 (1199), each using two digits the same number of times.

9900 divides 19¹⁰ - 1.

Source: Number Gossip

870

870 = 2 x 3 x 5 x 29.

870 is a pronic number (the product of two consecutive integers): 870 = 29 x 30.

870 is the sum its digits plus the cubes of its digits: 870 = 8 + 7 + 0 + 8³ + 7³ + 0³.

870 is 606 in base 12 and 303 in base 17.

870 is the sum of 10 consecutive primes: 870 = 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107.

870 is the magic constant (or sum) for a 12 x 12 normal magic square.

Source: Number Gossip

1560

1560 = 2 x 2 x 2 x 3 x 5 x 13.

1560 is a pronic number because it is the product of two consecutive integers (A002378): 1560 = 39 x 40.

1560 is 11000011000 in base 2 (binary). It can be expressed using only the digits 0, 1, and 2 in bases 2, 3, 4, 5, and 6. It is 3030 in base 8.

1560 is the maximum number of pieces into which a torus can be sliced using 20 cuts.

1560 is a number n such that 11n + 1 (A219257) and 21n + 1 (A219391) are squares: 11(1560) + 1 = 17161 = 131² and 21(1560) + 1 = 32761 = 181².

1560 is the number of ways, counted up to symmetry, to build a contiguous structure with 3 LEGO blocks of size 2 x 4 (A112389).

Source: Number Gossip

992

992 = 2 x 2 x 2 x 2 x 2 x 31. It is the product of two consecutive numbers (a pronic number): 992 = 32 x 31.

992 is 1111100000 in base 2 (binary). It is 212 in base 22.

992 is the number of differential structures on the 11-dimensional hypersphere.

992 is the largest known even number that is expressible as the sum of two primes in only 13 ways.

Source: Number Gossip

182

182 = 2 x 7 x 13.

182 is a pronic number; it is the product of two consecutive numbers: 182 = 13 x 14.

182 is 222 in base 9 and 77 in base 25. It is 20202 in base 3 and 1212 in base 5.

182 is the number of connected bipartite graphs with 8 vertices.

182 = 3³ + 3³ + 4³ + 4³ = 14² - 14.

The USS Salmon  (SS-182) was a United States Navy submarine during World War II.

Source: Number Gossip

756

756 = 2 x 2 x 3 x 3 x 3 x 7.

756 is a pronic number, the product of two consecutive numbers, 27 and 28.

12 x 63 = 756 = 21 x 36.

756 is the maximum number of regions into which 14 spheres divide space.

756!/657! - 1 is a prime.

756 is 11011 in base 5. It is 3300 in base 6.

756 is the sum of six consecutive primes: 756 = 109 + 113 + 127 + 131 + 137 + 139.

Source: Number Gossip

930

930 = 2 x 3 x 5 x 31. It is a pronic number, the product of two consecutive integers (A002378): 930 = 30 x 31. It is also the product of a prime and the previous number (A036689).

930 is the number of even permutations of seven elements with no fixed points.

930 is 656 in base 12 and 567 in base 13.

The sum of the divisors of 930 is a square (A006532): 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 + 31 + 62 + 93 + 155 + 186 + 310 + 465 + 930 = 2304 = 48².

Source: What's Special About This Number?

552

552 = 2 x 2 x 2 x 3 x 23.

552 is an oblong or pronic number (of the form n(n + 1)) (A002378): 552 = 23 x 24.

552 is the number of prime knots with 11 crossings (A002863).

552 is the sum of six consecutive primes: 552 = 79 + 83 + 89 + 97 + 101 + 103. It is also the sum of 10 consecutive primes: 552 = 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73.

552 is the sum of six positive fifth powers (A003351): 552 = 3⁵ + 3⁵ + 2⁵ + 2⁵ + 1⁵ + 1⁵.

The German submarine U-552, nicknamed "Red Devil," was in service during World War II.

Source: What's Special About This Number?

156

156 = 2² x 3 x 13. It is a pronic number because it is the product of two consecutive numbers: 156 = 12 x 13.

156 is 1111 in base 5.

156 is a dodecagonal number.

156 is the number of graphs with six vertices.

A clock will strike 156 times in the course of a day.

Source: Number Gossip

702

702 = 2 x 3³ x 13.

702 is a pronic number because it is the product of two consecutive integers: 702 = 26 x 27.

702 is 222000 in base 3 and 2022 in base 7.

702 is a number n such that n³ is the sum of two consecutive primes: 702³ = 345,948,408 = 172,974,199 + 172,974,209.

702 is a musical group (R&B trio) named after the area code of their hometown: Las Vegas, Nevada.

Source: Number Gossip

5700

5700 = 2² x 3 x 5² x 19.

5700 is a pronic number because it is the product of two consecutive numbers: 5700 = 75 x 76.

5700 is divisible by its reverse (75).

5700 is 22422 in base 7 and 2112 in base 14. It is 7733 in base 9. 5700 in base 3 (21211010) and in base 4 (1121010) ends with the same four digits: 1010.

The Nokia 5700 XpressMusic is a mobile phone that emphasizes music and multimedia playback.

Source: Number Gossip

600

600 = 2³ x 3 x 5².

600 is the product of two consecutive integers, so it is a pronic number: 600 = 24 x 25.

600 and its reverse, 6, are both the averages of twin primes: 599 and 601; 5 and 7.

600 is 211020 in base 3 and 21120 in base 4; it is 4400 in base 5, 2440 in base 6, and 420 in base 12; it is 1515 in base 7.

600 is the value of the postal abbreviation for the District of Columbia, DC, in the United States, interpreted as Roman numerals.

Source: Number Gossip

380

380 = 2² x 5 x 19.

380 is a pronic number because it is the product of two consecutive numbers: 380 = 19 x 20. Hence, it is also twice a triangular number.

380 is the smallest number divisible by 5 of the form p(p + 1) where p is a prime and doesn't equal 5.

380 is a number that cannot be written as a sum of three squares.

380 is the number of necklaces possible with 13 beads, each being one of two possible colors.

The Airbus A380 aircraft, the largest commercial aircraft flying today, was introduced in the year 2007.

Source: Number Gossip

812

812 = 2² x 7 x 29. It is the product of a prime and the previous number (two consecutive integers): 812 = 28 x 29.

812 is a pronic number.

812 is the number of triangles of any size contained in a triangle of side 14 on a triangular grid.

The sum of the base 3 digits of 812 equals the sum of the base 9 digits of 812: (1 + 0 + 1 + 0 + 0 + 0 + 2) = (1 + 1 + 0 + 2) = 4.

Telephone area code 812 covers the southern part of Indiana.

Source: What's Special About This Number?

272

272 = 2⁴ x 17.

272 has a representation as a sum of two squares: 272 = 4² + 16².

272 is the number of hyperspheres in 9 dimensions that can touch an equivalent hypersphere without any intersections (Kissing Number).

272 is a pronic number, the product of two consecutive numbers: 272 = 16 x 17.

All the digits of 272 are prime, and the sum of the digits of this palindromic composite is 11, a palindromic prime. The product of the digits is 28, a perfect number.

272 is the sum of four consecutive primes: 272 = 61 + 67 + 71 + 73.

A Calorie Counter offers a list of the 272 fast food items highest in calories.

Source: Number Gossip

506

506 = 2 x 11 x 23.

506 is a pronic number because it is the product of two consecutive integers: 22 x 23 = 506.

506 is the sum of the first eleven squares: 1² + 2² + . . . + 10² + 11² = 506 (which makes it a square pyramidal number).

506 is a hendecagonal number.

The telephone area code 506 covers the Canadian province of New Brunswick.

Source: Number Gossip

650

650 = 2 x 5² x 13.

650 is a pronic number. It is the product of two consecutive integers: 25 x 26 = 650.

650 is the sum of the first 12 squares. Hence, it is a pyramidal number.

650 is 22022 in base 4 and 1616 in base 7.


In the 1950s, advanced features of the IBM 650 Magnetic Drum Data Processing Machine brought increased reliability to the young field of electronic computing.

Source: Number Gossip

1056

1056 = 2⁵ x 3 x 11.

1056 = 32 x 33 = 1 x 6 x 11 x 16, one of only two solutions of x(x + 1) = y(y + 5)(y + 10)(y + 15). The other is 207 x 208 = 8 x 13 x 18 x 23 = 43,056.

1056 is the area of the smallest non-square rectangle that can be tiled with distinct integer-sided squares.

1056 is a pronic number.

1056 is the sum of two distinct powers of 2: 1056 = 2¹⁰ + 2⁵.


A Chinese astronomer observed the creation of the Crab Nebula in the year 1056.

Source: Number Gossip

56

56 = 2³ x 7.

56 is a pronic number because it is the product of two consecutive numbers: 7 x 8 = 56.

56 is the sum of the first six triangular numbers: 1 + 3 + .6 + 10 + 15 + 21 = 56. Hence, it is a tetrahedral number, the number of balls you can put in a triangular pyramid: 1, 4, 10, 20, 35, 56, 84, 120, . . .

56 is the sum of six consecutive prime numbers: 3 + 5 + 7 + 11 + 13 + 17 = 56.


56 men signed the Declaration of Independence in 1776, which led to the formation of the United States of America.

Source: Number Gossip