A074838 Numbers n such that sum(d|n, 1/core(d) ) is an integer where core(x) is the squarefree part of x.

1, 6, 8, 16, 20, 24, 54, 60, 72, 96, 126, 128, 180, 216, 243, 256, 384, 441, 486, 500, 504, 540, 648, 704, 729, 864, 891, 972, 1100, 1152, 1260, 1500, 1536, 1620, 1782, 1792, 1944, 2016, 2048, 2112, 2205, 2560, 3300, 3456, 3528, 3564, 3645, 3888, 4096