A175742 - OEIS

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

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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