cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A117690 Cubes for which both the sum of the digits and the product of the digits are squares.

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%I A117690 #13 Aug 30 2025 10:05:37
%S A117690 0,1,1000,27000,216000,970299,1000000,1860867,2146689,4019679,5000211,
%T A117690 10077696,14348907,21717639,26198073,27000000,27818127,29503629,
%U A117690 36926037,37933056,57960603,62099136,67917312,80621568,84027672,106496424,116930169,123505992
%N A117690 Cubes for which both the sum of the digits and the product of the digits are squares.
%e A117690 2146689 is in the sequence because it is a cube and (1)the sum of its digits 2+1+4+6+6+8+9=36 is a square and (2)the product of its digits 2*1*4*6*6*8*9=20736 is also a square.
%t A117690 okQ[n_]:=Module[{idn=IntegerDigits[n]},IntegerQ[Sqrt[Total[idn]]] && IntegerQ[Sqrt[Times@@idn]]]; Select[Range[0,500]^3,okQ] (* _Harvey P. Dale_, Aug 24 2011 *)
%Y A117690 Cf. A000290, A000578, A004164, A053668.
%K A117690 nonn,base,changed
%O A117690 0,3
%A A117690 Luc Stevens (lms022(AT)yahoo.com), Apr 12 2006
%E A117690 Corrected (by inserting a(15)=26198073) by _Harvey P. Dale_, Aug 24 2011
%E A117690 More terms from _Jason Yuen_, Aug 30 2025