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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
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.
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. A046303 (a subsequence). - Michel Marcus, Apr 06 2017
Sequence in context: A135640 A306854 A095119 * A102793 A144770 A068546
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Aug 27 2010
EXTENSIONS
Extended by T. D. Noe, May 09 2011
STATUS
approved