176 (one hundred
ndseventy-six) is the
natural number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following
175 and preceding
177.
In mathematics
176 is an
even number and an
abundant number
In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total ...
. It is an
odious number, a
self number, a
semiperfect number, and a
practical number.
176 is a
cake number, a
happy number, a
pentagonal number
A pentagonal number is a figurate number that extends the concept of triangular number, triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotational ...
, and an
octagonal number
In mathematics, an octagonal number is a figurate number. The ''n''th octagonal number ''o'n'' is the number of dots in a pattern of dots consisting of the outlines of regular octagons with sides up to ''n'' dots, when the octagons are overlai ...
.
15 can be
partitioned in 176 ways.
The
Higman–Sims group can be constructed as a
doubly transitive permutation group acting on a geometry containing 176 points, and it is also the symmetry group of the largest possible set of
equiangular lines in 22 dimensions, which contains 176 lines.
References
External links
Number Facts and Trivia: 176The Number 176The Positive Integer 176
Number Gossip: 176
{{DEFAULTSORT:176 (Number)
Integers