176 (number)
| ||||
|---|---|---|---|---|
| Cardinal | one hundred seventy-six | |||
| Ordinal | 176th (one hundred seventy-sixth) | |||
| Factorization | 24 × 11 | |||
| Divisors | 1, 2, 4, 8, 11, 16, 22, 44, 88, 176 | |||
| Greek numeral | ΡΟϚ´ | |||
| Roman numeral | CLXXVI, clxxvi | |||
| Binary | 101100002 | |||
| Ternary | 201123 | |||
| Senary | 4526 | |||
| Octal | 2608 | |||
| Duodecimal | 12812 | |||
| Hexadecimal | B016 | |||
176 (one hundred [and] seventy-six) is the natural number following 175 and preceding 177.
In mathematics
[edit]176 is an even number and an abundant number. It is an odious number, a self number, a semiperfect number, and a practical number.[1]
176 is a cake number,[2] a happy number, a pentagonal number, and an octagonal number. 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,[3] and it is also the symmetry group of the largest possible set of equiangular lines in 22 dimensions, which contains 176 lines.[4]
References
[edit]- ^ "Sloane's A005153 : Practical numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ "Sloane's A000125 : Cake numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ Wilson, Robert A. (2009). The Finite Simple Groups. Graduate Texts in Mathematics. Vol. 251. London: Springer London. p. 212. doi:10.1007/978-1-84800-988-2. ISBN 978-1-84800-987-5.
- ^ Lemmens, P.W.H.; Seidel, J.J.; Green, J.A. (1991), "Equiangular Lines", Geometry and Combinatorics, Elsevier, pp. 127–145, doi:10.1016/b978-0-12-189420-7.50017-7, ISBN 978-0-12-189420-7, retrieved 2022-07-01
External links
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