176 (number)

Last updated
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
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]

In astronomy

In the Bible

In the military

In transportation

In other fields

176 is also:

See also

Related Research Articles

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173 is the natural number following 172 and preceding 174.

141 is the natural number following 140 and preceding 142.

139 is the natural number following 138 and preceding 140.

154 is the natural number following 153 and preceding 155.

156 is the natural number, following 155 and preceding 157.

181 is the natural number following 180 and preceding 182.

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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