## Friday, July 30, 2010

### 176

176 = 24 x 11.

176 has a unique representation as a sum of three squares: 176 = 42 + 42 + 122.

176 is the number of integer partitions of 15.

176 is the smallest number that is both a pentagonal number and an octagonal number.

Each internal angle of a regular 90-sided polygon is 176 degrees. Gliese 176 is a red dwarf star in the constellation Taurus.

#### 1 comment: Anonymous said...

Other properties of the number 176
The number 176 divides 23^2-1
The 176 is a happy number because
1^2+7^2+6^2=86,8^2+6^2=100,1^2+0^2 +0^2=1,ends in unity
176 can be represented as:
176=2^7+48
176=2^2+6^2+6^2+10^2
176=2^3+2^3+2^3+3^3+5^3
176 is an almost prime number being the product of five primes, see A014614 and http://mathworld.wolfram.com/AlmostPrime
Divider 176 is also the product of 5 primes, see
A048946, and http://mathworld.wolfram.com/DivisorProduct
176 is a number semiperfect, A005835, and panarithmic, A005153, and which can be expressed as the sum of all or some of its divisors:
176=2+4+16+22+44+88
The number 176 is a cake, A000125, as it can be represented as
176=(n^3+5n+6)/6 where n=10
The number 176 is represented in the following Pythagorean triples:
176^+210^2=274^2
176^2+960^2=976^2
176^2+3870^2=3874^2
The number 176 can representation in quadratic fields as:
176=1^2+7*5^2=14^2-5*2^2
176=8^2+7*4^2=16^2-5*4^2
Rafael Parra Machio