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

Author

Reinhard Zumkeller, Jun 21 2010

Keywords

• fini
• nonn
• easy
• full

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

Crossrefs

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

Programs

Mathematica

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

PARI

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