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A178859 Divisors of 7560. 19


%S 1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,

%T 56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,

%U 270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890

%N Divisors of 7560.

%C 7560 is a highly composite number: A002182(20)=7560.

%C The sequence is finite with A002183(20)=64 terms: a(64)=7560.

%C Its primorial factorization is 6^2 * 210 and its representing polynomial p(x) of degree 6 with x=2 is x^6 + 18x^5 + 118x^4 + 348x^3 + 457x^2 + 210x. - _Carlos Eduardo Olivieri_, May 02 2015

%H R. Zumkeller, <a href="/A178859/b178859.txt">Table of n, a(n) for n = 1..64</a> (complete sequence)

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HighlyCompositeNumber.html">Highly Composite Number</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Highly_composite_number">Highly composite number</a>

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

%t Divisors[7560] (* _Carlos Eduardo Olivieri_, May 02 2015 *)

%o (PARI) divisors(7560) \\ _M. F. Hasler_, Feb 14 2013

%Y Cf. A018253, A018256, A018261, A018266, A018293, A018321, A018350, A018412, A018609, A018676, A178877, A178878, A165412, A178858, A178860, A178861, A178862, A178863, A178864.

%K fini,nonn,easy,full

%O 1,2

%A _Reinhard Zumkeller_, Jun 21 2010

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Last modified September 29 12:15 EDT 2020. Contains 337431 sequences. (Running on oeis4.)