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A175742
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Numbers with 32 divisors.
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5
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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
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1,1
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COMMENTS
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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.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
OEIS Wiki, Index entries for number of divisors
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FORMULA
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A000005(a(n))=32.
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MATHEMATICA
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Select[Range[10000], DivisorSigma[0, #]==32&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)
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PROG
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(PARI) is(n)=numdiv(n)==32 \\ Charles R Greathouse IV, Jun 19 2016
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CROSSREFS
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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
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KEYWORD
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nonn
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AUTHOR
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Jaroslav Krizek, Aug 27 2010
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EXTENSIONS
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Extended by T. D. Noe, May 09 2011
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STATUS
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approved
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