176 (number)

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← 175 176 177 →
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.

Contents

In mathematics

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

  1. ↑ "Sloane's A005153 : Practical numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. ↑ "Sloane's A000125 : Cake numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  3. ↑ 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.
  4. ↑ 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
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