

A126957


Numbers n with all digits distinct, no 0 or 1 digits and such that n is divisible by the product of its digits.


0



2, 3, 4, 5, 6, 7, 8, 9, 24, 36, 384, 432, 624, 672, 735, 3276
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS



EXAMPLE

735 is a member because 7*3*5 = 105 and 735 / 105 = 7


MATHEMATICA

Select[Range[4000], Max[DigitCount[#]]==1&&FreeQ[IntegerDigits[#], 0] && FreeQ[ IntegerDigits[#], 1]&&Divisible[#, Times@@IntegerDigits[#]]&] (* Harvey P. Dale, Jun 07 2022 *)


CROSSREFS



KEYWORD

base,nonn,fini,full


AUTHOR

Roeland Krul (rkrul2000(AT)yahoo.com), Mar 19 2007


STATUS

approved



