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176 (number)

FieldValue
number176
divisor1, 2, 4, 8, 11, 16, 22, 44, 88, 176

176 (one hundred [and] 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.

References

References

  1. "Sloane's A005153 : Practical numbers". OEIS Foundation.
  2. "Sloane's A000125 : Cake numbers". OEIS Foundation.
  3. Wilson, Robert A.. (2009). "The Finite Simple Groups". Springer London.
  4. Lemmens, P.W.H.. (1991). "Equiangular Lines". Elsevier.
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