%I A056757
%S A056757 2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,
%T A056757 35,36,38,39,40,42,44,45,46,48,50,51,52,54,55,56,57,58,60,62,63,64,66,
%U A056757 68,70,72,75,76,78,80,81,84,88,90,92,96,98,99,100,102,104,105,108,110
%N A056757 Cube of number of divisors is larger than the number.
%F A056757 d[n]^3 > n, where d[]=A000005()
%e A056757 n=27935107200=128*27*25*7*11*13*17*19 has 3072 divisors, its cube 28991029248/
               n = 1.037799, so n is here. Although this sequence is finite, its 
               end is not known, estimations are weak. Big cases beyond 10^10: 10291881600,
               11502691200,12221609400,12681068400, 13967553600,16908091200,18897278400,
               27935107200.
%Y A056757 Cf. A034884, A035033-A035035.
%Y A056757 Sequence in context: A164713 A070331 A080672 this_sequence A079333 A063938 
               A002473
%Y A056757 Adjacent sequences: A056754 A056755 A056756 this_sequence A056758 A056759 
               A056760
%K A056757 fini,nonn
%O A056757 1,1
%A A056757 Labos E. (labos(AT)ana.sote.hu), Aug 16 2000