

A018321


Divisors of 180.


19



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



