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Numbers other than prime powers divisible by the sum, the sum of squares and the sum of cubes of their prime divisors.
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%I #10 Feb 05 2016 11:32:03

%S 12192180,15724800,24384360,31449600,36576540,47174400,48768720,

%T 60960900,62899200,73153080,78624000,85345260,94348800,97537440,

%U 109729620,110073600,121921800,125798400,134113980,141523200,146306160,157248000,158498340,170690520,182882700,188697600,195074880

%N Numbers other than prime powers divisible by the sum, the sum of squares and the sum of cubes of their prime divisors.

%H Charles R Greathouse IV, <a href="/A268418/b268418.txt">Table of n, a(n) for n = 1..100</a>

%H Jean-Marie de Koninck, Florian Luca, <a href="http://dx.doi.org/10.1016/j.jnt.2007.01.010">Integers divisible by sums of powers of their prime factors</a>, Journal of Number Theory, Volume 128, Issue 3, March 2008, Pages 557-563.

%o (PARI) isok(n) = my(f = factor(n)[,1]); (#f>2) && ((n % vecsum(f)) == 0) && ((n % sum(k=1, #f, f[k]^2)) == 0) && ((n % sum(k=1, #f, f[k]^3)) == 0);

%Y Intersection of A268373 and A066031 and A190882.

%Y Intersection of A268373 and A268417.

%K nonn

%O 1,1

%A _Michel Marcus_, Feb 04 2016