Harmonic numbers (A001599) with a record number of divisors.

Terms

a(0) =1a(1) =6a(2) =28a(3) =140a(4) =270a(5) =672a(6) =2970a(7) =8190a(8) =30240a(9) =332640a(10) =2178540a(11) =2457000a(12) =11981970a(13) =14303520a(14) =17428320a(15) =27027000a(16) =163390500a(17) =164989440a(18) =191711520a(19) =513513000a(20) =1307124000a(21) =2144862720a(22) =2701389600a(23) =3506025600a(24) =5943057120a(25) =13584130560a(26) =14378364000a(27) =29715285600a(28) =45578332800