A274124 Numbers n such that (product of digits of n) is divisible by (sum of digits of n) and digits of n are in nondecreasing order.

1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 36, 44, 66, 88, 123, 138, 145, 159, 167, 189, 224, 235, 246, 257, 268, 279, 333, 345, 347, 357, 369, 448, 456, 459, 466, 578, 579, 666, 678, 789, 999, 1124, 1146, 1168, 1225, 1233, 1236, 1247, 1258, 1269, 1344, 1348, 1356, 1368, 1447

Offset

1,2

Comments

Every number with a digit 0 is in A038367. Every permutation of every element of this is in A038367. These elements describe A038367 completely.

Intersection of A038367 and A009994.

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

Prog

(PARI) is(n) = my(v=vecsort(digits(n))); v==digits(n) && prod(i=1, #v, v[i]) % vecsum(v)==0

Crossrefs

Cf. A038367, A009994.

Sequence in context: A254956 A061013 A037264 * A045910 A128290 A110002

Adjacent sequences: A274121 A274122 A274123 * A274125 A274126 A274127

Keyword

nonn,base

Author

David A. Corneth, Jun 10 2016

Status

approved