A175746 Numbers with 36 divisors.

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

Offset

1,1

Comments

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.

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))=36.

Mathematica

Select[Range[10000], DivisorSigma[0, #]==36&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)

Prog

(PARI) is(n)=numdiv(n)==36 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A175744, A175745.

Sequence in context: A240922 A014575 A144563 * A291714 A350375 A179690

Adjacent sequences: A175743 A175744 A175745 * A175747 A175748 A175749

Keyword

nonn

Author

Jaroslav Krizek, Aug 27 2010

Extensions

Extended by T. D. Noe, May 08 2011

Status

approved