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176 (number)

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Natural number
← 175 176 177 →
170 171 172 173 174 175 176 177 178 179 0 100 200 300 400 500 600 700 800 900
Cardinalone hundred seventy-six
Ordinal176th
(one hundred seventy-sixth)
Factorization2 × 11
Divisors1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Greek numeralΡΟϚ´
Roman numeralCLXXVI, clxxvi
Binary101100002
Ternary201123
Senary4526
Octal2608
Duodecimal12812
HexadecimalB016

176 (one hundred seventy-six) is the natural number following 175 and preceding 177.

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.

176 is a cake number, 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, and it is also the symmetry group of the largest possible set of equiangular lines in 22 dimensions, which contains 176 lines.

In astronomy

In the Bible

In the military

In transportation

In other fields

176 is also:

See also

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

External links

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