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%I #13 May 08 2018 02:42:20
%S 1,102,8148,63720,66120,71880,196896,446040,452760,462840,471960,
%T 503160,517320,544920,549240,554280,559320,575880,756400,1458912,
%U 1499232,1579872,1634040,1659960,1748520,5294800,9740640,10103520,11103456,11438280,11583264,11619720,11915640
%N Numbers whose sum of divisors is the cube of one of their divisors.
%C Subset of A020477.
%e Divisors of 102 are 1, 2, 3, 6, 17, 34, 51, 102 and their sum is 216 = 6^3.
%p with(numtheory): P:=proc(q) local a,k,n;
%p for n from 1 to q do a:=sort([op(divisors(n))]);
%p for k from 1 to nops(a) do if sigma(n)=a[k]^3 then print(n); break; fi; od; od; end: P(10^9);
%t Select[Range[10^6], Mod[#, DivisorSigma[1, #]^(1/3)] == 0 &] (* _Michael De Vlieger_, May 06 2018 *)
%o (PARI) isok(n) = (n==1) || (ispower(s=sigma(n), 3) && !(n % sqrtnint(s, 3))); \\ _Michel Marcus_, May 05 2018
%Y Cf. A000203, A020477, A303123, A303994, A303995, A303996.
%K nonn,easy
%O 1,2
%A _Paolo P. Lava_, May 04 2018
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