A198343 Divisors of 196560.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 21, 24, 26, 27, 28, 30, 35, 36, 39, 40, 42, 45, 48, 52, 54, 56, 60, 63, 65, 70, 72, 78, 80, 84, 90, 91, 104, 105, 108, 112, 117, 120, 126, 130, 135, 140, 144, 156, 168, 180, 182, 189, 195, 208, 210, 216, 234, 240, 252, 260, 270, 273, 280, 312, 315, 336, 351, 360, 364, 378, 390, 420, 432, 455

Offset: 1

Author

N. J. A. Sloane, Oct 23 2011, following a suggestion from Mark A. Thomas

Keywords

• nonn
• fini
• full

Comments

196560 is the kissing number of the Leech lattice (cf. A008408). It is a famous number in the "Moonshine" investigations.

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..160
• Eiichi Bannai and N. J. A. Sloane, Uniqueness of certain spherical codes, Canad. J. Math. 33 (1981), no. 2, 437-449.
• J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979), no. 3, 308-339.
• A. M. Odlyzko and N. J. A. Sloane, New bounds on the number of unit spheres that can touch a unit sphere in n dimensions, J. Combin. Theory Ser. A 26 (1979), no. 2, 210-214.
• J. G. Thompson, Some numerology between the Fischer-Griess Monster and the elliptic modular function, Bull. London Math. Soc., 11 (1979), no. 3, 352-353.
• Index entries for sequences related to divisors of numbers

Crossrefs

Cf. A008408.

Programs

Mathematica

Divisors[196560] (* Paolo Xausa, Jul 01 2024 *)

PARI

divisors(196560) \\ Charles R Greathouse IV, Feb 21 2013