Showing posts with label decagonal number. Show all posts
Showing posts with label decagonal number. Show all posts

Friday, December 6, 2013

637

637 = 7 x 7 x 13.

637 is a decagonal number.

637 is 777 in base 9. It is 212121 in base 3 and 1600 in base 7.

637 has a representation as a sum of two squares: 637 = 142 + 212.

6373 = 258,474,853 = (258 - 474 + 853)3.


Source: What's Special About This Number?

Tuesday, July 10, 2012

370

370 = 2 x 5 x 37.

370 is a decagonal number (A001107).

370/(3 + 7 + 0) = 37 is prime.

370 = 37 x (3 + 7) = 33 + 73. It is an Armstrong or narcissistic number (A005188) because it is equal to the sum of the cubes of its three digits.

370 is the average of the sum of all the possible permutations of its digits: (037 + 073 + 307 + 370 + 703 + 730)/6 = 370.

370 is the sum of four consecutive primes: 370 = 83 + 89 + 97 + 101.

370 has two representations as a sum of two squares: 370 = 32 + 192 = 92 + 172.


Source: Prime Curios!

Tuesday, October 25, 2011

540

540 = 22 x 33 x 5. All prime divisors are consecutive primes starting at 2.


540 is divisible by its reverse, 45.

540 is the sum of three distinct positive cubes: 540 = 83 + 33 + 13.

540 is the sum of the internal angles of a five-sided convex polygon (or a pentagon).

Friday, September 30, 2011

976

976 = 24 x 61.


976 has a square formed by inserting a block of digits inside the original number: 9762 = 952,576.

976 has a representation as a sum of two squares: 976 = 202 + 242.

976 is a divisor of 114 - 1.

976-EVIL is a 1989 horror film directed by Robert Englund.

Wednesday, April 27, 2011

126

126 = 2 x 32 x 7.

126 is the sixth pentatope number.

126 is 99 in base 13.


126 is the number of prime days in a non-leap year.

The Ferrari 126C was Ferrari's first attempt at turbo-charged Formula 1 car.

Monday, April 25, 2011

855

855 = 32 x 56 x 19.

855 is the sum of all the digits of all two-digit numbers.

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

855 is a decagonal number. It is also a centered cube number.

855 is the smallest number that is the sum of five consecutive squares and two consecutive cubes: 855 = 112 + 122 + 132 + 142 + 152 = 73 + 83.


855 Newcombia is a asteroid discovered in 1916.

Wednesday, February 23, 2011

742

742 = 2 x 7 x 53.


742 is the maximum number of regions into which 38 lines divide a plane.

742 is the smallest number that is one more than triple its reverse: 742 = 3 x 247 + 1.

742 is the eighth Keith number.

GJ 742 (Gliese-Jahreiss 742) is a white dwarf star located about 43 light years from Earth in the constellation Draco.

Thursday, December 2, 2010

451

451 = 11 x41.

451 is a decagonal number. It is also a centered decagonal number.

10451 + 451 is a prime number.

3 plus the integer formed by the first 451 digits after the decimal point in pi is a prime number.

The title of the novel and film Fahrenheit 451 refers to the temperature at which book paper supposedly burns.