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A018321 Divisors of 180. 19

%I #27 Sep 21 2017 03:47:23

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

%N Divisors of 180.

%C 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

%C 180 is a highly composite number: A002182(11) = 180. - _Reinhard Zumkeller_, Jun 21 2010

%C 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

%H Geometry Center, <a href="http://www.scienceu.com/geometry/articles/tritile/nice.html">Triangle Tilings: Nice Angles</a>

%H <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>

%t Divisors[180] (* _Vladimir Joseph Stephan Orlovsky_, Feb 19 2012 *)

%o (PARI) divisors(180) \\ _Charles R Greathouse IV_, Jun 21 2017

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

%K nonn,fini,full,easy

%O 1,2

%A _N. J. A. Sloane_.

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