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

Author

David A. Corneth, Jun 10 2016

Keywords

• nonn
• base

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

Crossrefs

Cf. A038367, A009994.

Programs

PARI

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