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A175742 Numbers with 32 divisors. 5
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 16 01:19 EDT 2019. Contains 328038 sequences. (Running on oeis4.)