Largest number of binary size n (i.e., between (n-1)-th and n-th powers of 2) with the following property: cube of its number of divisors is larger than the number itself.

A056767

Largest number of binary size n (i.e., between (n-1)-th and n-th powers of 2) with the following property: cube of its number of divisors is larger than the number itself.

Terms

    a(0) =2a(1) =4a(2) =8a(3) =16a(4) =32a(5) =64a(6) =128a(7) =256a(8) =512a(9) =1024a(10) =2046a(11) =4095a(12) =8190a(13) =16380a(14) =32760a(15) =65520a(16) =131040a(17) =262080a(18) =524160a(19) =1048320a(20) =2097144a(21) =4193280a(22) =8386560a(23) =16773900a(24) =33547800a(25) =67095600a(26) =134191200a(27) =268382400a(28) =536215680a(29) =1073709000

External references