Integers whose number of divisors that are triangular numbers sets a new record.

Terms

a(0) =1a(1) =3a(2) =6a(3) =30a(4) =90a(5) =180a(6) =210a(7) =420a(8) =630a(9) =1260a(10) =2520a(11) =6930a(12) =13860a(13) =27720a(14) =41580a(15) =83160a(16) =138600a(17) =180180a(18) =360360a(19) =540540a(20) =1081080a(21) =1413720a(22) =2162160a(23) =3063060a(24) =6126120a(25) =12252240a(26) =18378360a(27) =36756720a(28) =73513440a(29) =91891800