A175742 Numbers with 32 divisors.

840, 1080, 1320, 1512, 1560, 1848, 1890, 1920, 2040, 2184, 2280, 2310, 2376, 2688, 2730, 2760, 2808, 2856, 2970, 3000, 3080, 3192, 3432, 3456, 3480, 3510, 3570, 3640, 3672, 3720, 3864, 3990, 4104, 4158, 4224, 4290, 4440, 4480, 4488, 4590, 4760, 4830, 4872

Offset

1,1

Comments

Numbers of the form p^31, p^15*q^1, p^7*q^3, p^7*q^1*r^1, p^3*q^3*r^1, p^3*q^1*r^1*s^1 and p^1*q^1*r^1*s^1*t^1, where p, q, r, s and t are distinct primes.

Links

T. D. Noe, Table of n, a(n) for n = 1..1000

OEIS Wiki, Index entries for number of divisors

Formula

A000005(a(n))=32.

Mathematica

Select[Range[10000], DivisorSigma[0, #]==32&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)

Prog

(PARI) is(n)=numdiv(n)==32 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A137491, A137492, A137493, A139571.

Cf. A046303 (a subsequence). - Michel Marcus, Apr 06 2017

Sequence in context: A135640 A306854 A095119 * A102793 A144770 A068546

Adjacent sequences: A175739 A175740 A175741 * A175743 A175744 A175745

Keyword

nonn

Author

Jaroslav Krizek, Aug 27 2010

Extensions

Extended by T. D. Noe, May 09 2011

Status

approved