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A175745
Numbers with 35 divisors.
6
5184, 11664, 40000, 153664, 250000, 455625, 937024, 1265625, 1750329, 1827904, 1882384, 5345344, 8340544, 9529569, 10673289, 17909824, 20820969, 28344976, 37515625, 45265984, 59105344, 60886809, 73530625, 77228944, 95004009, 119946304, 143496441, 180848704
OFFSET
1,1
COMMENTS
Numbers of the form p^34 and p^6*q^4 (A190464), where p and q are distinct primes.
FORMULA
A000005(a(n)) = 35.
Sum_{n>=1} 1/a(n) = P(4)*P(6) - P(10) + P(34) = 0.000320676..., where P is the prime zeta function. - Amiram Eldar, Jul 03 2022
MATHEMATICA
Select[Range[9000000], DivisorSigma[0, #]==35&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)
PROG
(PARI) is(n)=numdiv(n)==35 \\ Charles R Greathouse IV, Jun 19 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Aug 27 2010
EXTENSIONS
Extended by T. D. Noe, May 08 2011
STATUS
approved