176 (number)

From HandWiki
Short description: Natural number
← 175 176 177 →
Cardinalone hundred seventy-six
Ordinal176th
(one hundred seventy-sixth)
Factorization24 × 11
Divisors1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Greek numeralΡΟϚ´
Roman numeralCLXXVI
Binary101100002
Ternary201123
Quaternary23004
Quinary12015
Senary4526
Octal2608
Duodecimal12812
HexadecimalB016
Vigesimal8G20
Base 364W36

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.[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

  • Minuscule 176 (in the Gregory-Aland numbering), a Greek minuscule manuscript of the New Testament
  • 176 is the highest verse number in the Bible. Found in Psalm 119.

In the military

In transportation

  • Heinkel He 176 was a German rocket-powered aircraft
  • London Buses route 176
  • 176th Street, Bronx elevated station on the IRT Jerome Avenue Line of the New York City Subway

In other fields

176 is also:

See also

  • List of highways numbered 176
  • United Nations Security Council Resolution 176
  • United States Supreme Court cases, Volume 176

References

  1. "Sloane's A005153 : Practical numbers". OEIS Foundation. https://oeis.org/A005153. 
  2. "Sloane's A000125 : Cake numbers". OEIS Foundation. https://oeis.org/A000125. 
  3. Wilson, Robert A. (2009). The Finite Simple Groups. Graduate Texts in Mathematics. 251. London: Springer London. pp. 212. doi:10.1007/978-1-84800-988-2. ISBN 978-1-84800-987-5. http://link.springer.com/10.1007/978-1-84800-988-2. 
  4. Lemmens, P.W.H.; Seidel, J.J.; Green, J.A. (1991), "Equiangular Lines" (in en), Geometry and Combinatorics (Elsevier): pp. 127–145, doi:10.1016/b978-0-12-189420-7.50017-7, ISBN 978-0-12-189420-7, https://linkinghub.elsevier.com/retrieve/pii/B9780121894207500177, retrieved 2022-07-01 

External links