

A074632


Sum of first, 2nd, 3rd, 4th and 5th powers of divisors of n are divisible by sum of divisors of n.


0



1, 20, 64, 500, 729, 1024, 1280, 4096, 4352, 14580, 15625, 32000, 39168, 46656, 47360, 59049, 65536, 117649, 144640, 161024, 262144, 312500, 364500, 509184, 531441, 746496, 796797, 933120, 1000000, 1180980, 1184000, 1449216, 1771561
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..33.


EXAMPLE

n=20: s1=42,s2=546=13.42,s3=9198=219.42,s4=170898=4069.42, s5=3304182=78671.42


MATHEMATICA

Select[Range[2000000], And@@Divisible[DivisorSigma[Range[2, 5], #], DivisorSigma[ 1, #]]&] (* Harvey P. Dale, Jan 01 2012 *)


CROSSREFS

See also A020487, A046841, A046870, A046871.
Cf. A000203, A001157A001160.
Sequence in context: A262486 A187156 A246877 * A225190 A228839 A304253
Adjacent sequences: A074629 A074630 A074631 * A074633 A074634 A074635


KEYWORD

easy,nonn


AUTHOR

Labos Elemer, Aug 27 2002


STATUS

approved



