A161466 Divisors of 10!.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 54, 56, 60, 63, 64, 70, 72, 75, 80, 81, 84, 90, 96, 100, 105, 108, 112, 120, 126, 128, 135, 140, 144, 150, 160, 162, 168, 175, 180, 189, 192, 200, 210, 216, 224

Offset: 1

Author

Reinhard Zumkeller, Jun 10 2009

Keywords

• fini
• full
• nonn
• easy
• look

Comments

Finite subsequence of A002473, the 7-smooth numbers;

10! = A000142(10) = 3628800;

tau(3628800) = A000005(3628800) = 270;

last term: a(270) = 3628800.

A027423(10) = 270; a(n) = A027750(A000142(10),n), n = 1..270. - Reinhard Zumkeller, Aug 27 2013

Links

• R. Zumkeller, Table of n, a(n) for n = 1..270 (complete sequence)
• Index entries for sequences related to divisors of numbers
• Index entries for sequences related to factorial numbers

Programs

Haskell

a161466 n = a161466_list !! (n-1)
a161466_list = a027750_row $ a000142 10
-- Reinhard Zumkeller, Aug 27 2013

Mathematica

Divisors[3628800] (* Vladimir Joseph Stephan Orlovsky, Feb 21 2012 *)

PARI

divisors(10!) \\ Joerg Arndt, Apr 07 2013