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A175746
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Numbers with 36 divisors.
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4
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1260, 1440, 1800, 1980, 2016, 2100, 2340, 2400, 2700, 2772, 2940, 3060, 3150, 3168, 3276, 3300, 3420, 3528, 3744, 3840, 3900, 4140, 4284, 4410, 4500, 4704, 4788, 4860, 4896, 4950, 5100, 5148, 5220, 5292, 5376, 5472, 5580, 5600, 5700, 5796, 5850, 6468, 6624
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OFFSET
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1,1
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COMMENTS
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Numbers of the forms p^35, p^17*q^1, p^11*q^2, p^8*q^3, p^5*q^5, p^8*q^1*r^1, p^5*q^2*r^1, p^3*q^2*r^2 and p^2*q^2*r^1*s^1, where p, q, r, and s 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))=36.
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MATHEMATICA
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Select[Range[10000], DivisorSigma[0, #]==36&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)
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PROG
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(PARI) is(n)=numdiv(n)==36 \\ Charles R Greathouse IV, Jun 19 2016
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CROSSREFS
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Cf. A175744, A175745.
Sequence in context: A240922 A014575 A144563 * A291714 A179690 A158737
Adjacent sequences: A175743 A175744 A175745 * A175747 A175748 A175749
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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 08 2011
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STATUS
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approved
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