a(n) is the least number that has exactly n divisors with the same digit sum.

Terms

a(0) =1a(1) =10a(2) =36a(3) =54a(4) =144a(5) =108a(6) =486a(7) =216a(8) =324a(9) =432a(10) =648a(11) =540a(12) =1296a(13) =3510a(14) =2430a(15) =1080a(16) =2700a(17) =1620a(18) =8424a(19) =2160a(20) =4860a(21) =4320a(22) =3240a(23) =27216a(24) =7560a(25) =8100a(26) =6480a(27) =35100a(28) =10800a(29) =19440