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Numbers that raised to only one specific exponent gives a result for which the sum of its digits is equal to number itself.
4

%I #4 Aug 24 2012 10:49:57

%S 2,3,4,5,6,17,20,22,25,26,31,34,35,40,43,45,53,58,63,64,68,71,81,82,

%T 85,86,91,94,97,98,103,104,117

%N Numbers that raised to only one specific exponent gives a result for which the sum of its digits is equal to number itself.

%C Subset of A124359

%e 31^7=27512614111 and 2+7+5+1+2+6+1+4+1+1+1=31. This is possible only with 7 as exponent.

%e 97^10=73742412689492826049 and 7+3+7+4+2+4+1+2+6+8+9+4+9+2+8+2+6+4+9=97. This is possible only with 10 as exponent.

%Y Cf. A124359, A124360, A124361, A124362, A046019, A124364.

%K nonn,base

%O 1,1

%A _Paolo P. Lava_ and _Giorgio Balzarotti_, Oct 30 2006