A018321 - OEIS

A018321

Divisors of 180.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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OFFSET

1,2

COMMENTS

These divisors represent a special case of the "nice angles" discussed at the Geometry Center when bending generating triangles to construct polyhedra (link given below). - Alford Arnold, Apr 16 2000

180 is a highly composite number: A002182(11) = 180. - Reinhard Zumkeller, Jun 21 2010

There are 752 ways to partition 180 as a sum of some of its distinct divisors (see A033630). This is more than any smaller number (hence 180 is listed in A065218). - Alonso del Arte, Sep 20 2017

LINKS

Table of n, a(n) for n=1..18.

Geometry Center, Triangle Tilings: Nice Angles

Index entries for sequences related to divisors of numbers

MATHEMATICA

Divisors[180] (* Vladimir Joseph Stephan Orlovsky, Feb 19 2012 *)

PROG

(PARI) divisors(180) \\ Charles R Greathouse IV, Jun 21 2017

CROSSREFS

Cf. A018253, A018256, A018261, A018266, A018293, A018412, A018350, A018609, A018676, A178877, A178878, A165412, A178858, A178859, A178860, A178861, A178862, A178863, A178864.

Sequence in context: A018710 A018509 A134950 * A178971 A082642 A217348

Adjacent sequences: A018318 A018319 A018320 * A018322 A018323 A018324

KEYWORD

nonn,fini,full,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved