A178859 Divisors of 7560.

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, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890

Offset

1,2

Comments

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

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

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

Links

R. Zumkeller, Table of n, a(n) for n = 1..64 (complete sequence)

Eric Weisstein's World of Mathematics, Highly Composite Number

Wikipedia, Highly composite number

Index entries for sequences related to divisors of numbers

Mathematica

Divisors[7560] (* Carlos Eduardo Olivieri, May 02 2015 *)

Prog

(PARI) divisors(7560)  \\ M. F. Hasler, Feb 14 2013

Crossrefs

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

Sequence in context: A100952 A303332 A030477 * A165412 A180042 A096868

Adjacent sequences: A178856 A178857 A178858 * A178860 A178861 A178862

Keyword

fini,nonn,easy,full

Author

Reinhard Zumkeller, Jun 21 2010

Status

approved