Sum of 2nd, 4th, 6th, 8th and 10th powers of divisors are divisible by sum of divisors.

Terms

a(0) =1a(1) =64a(2) =729a(3) =1024a(4) =2916a(5) =4096a(6) =14580a(7) =15625a(8) =46656a(9) =59049a(10) =62500a(11) =65536a(12) =117649a(13) =142884a(14) =186624a(15) =242757a(16) =262144a(17) =348480a(18) =364500a(19) =478953a(20) =531441a(21) =714420a(22) =746496a(23) =796797a(24) =933120a(25) =1000000a(26) =1032256a(27) =1771561a(28) =2985984a(29) =3062500