A069827 Numbers n such that sigma(core(n))=tau(n) where core(x) is the squarefree part of x and tau(x) the number of divisors of x.

1, 20, 27, 45, 96, 150, 245, 294, 486, 504, 540, 605, 612, 726, 832, 845, 1014, 1400, 1445, 1500, 1700, 1734, 1805, 2166, 2645, 3125, 3168, 3174, 3332, 3825, 4176, 4205, 4352, 4805, 4950, 5046, 5324, 5766, 6174, 6615, 6776, 6845, 7497, 8214, 8228, 8405