A115693 Powerful(1) numbers (A001694) whose digit reversal is a cube.

1, 8, 72, 100, 343, 800, 1000, 1331, 7200, 8000, 10000, 34300, 72000, 80000, 100000, 133100, 343000, 720000, 800000, 1000000, 1030301, 1331000, 1367631, 3430000, 7200000, 8000000, 10000000, 13310000, 34300000, 72000000, 80000000, 100000000, 103030100, 133100000

Offset: 1

Author

Giovanni Resta, Jan 31 2006

Keywords

• nonn
• base

Examples

			72 = 2^3*3^2 is powerful and 27 = 3^3.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..180
• Index entries for sequences related to powerful numbers.

Crossrefs

Cf. A001694, A115694.

Programs

Mathematica

Select[Join[{1},Select[Range[10000000],Min[Transpose[ FactorInteger[#]] [[2]]]>1&]],IntegerQ[Power[FromDigits[Reverse[IntegerDigits[#]]], (3)^-1]]&] (* Harvey P. Dale, Sep 18 2011 *)

Extensions

a(28)-a(34) from Amiram Eldar, Feb 24 2024