A018321 Divisors of 180.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

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

• Geometry Center, Triangle Tilings: Nice Angles
• Index entries for sequences related to divisors of numbers

Crossrefs

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

Programs

Mathematica

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

PARI

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