

A087141


Numbers divisible by the sum of their digits, but not by all their individual digits.


4



10, 18, 20, 21, 27, 30, 40, 42, 45, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 102, 108, 110, 114, 117, 120, 133, 140, 150, 152, 153, 156, 171, 180, 190, 192, 195, 198, 200, 201, 204, 207, 209, 210, 220, 225, 228, 230, 234, 240, 243, 247, 252, 261, 266, 270
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

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


EXAMPLE

225 is in the sequence as 225 is divisible by 2 + 2 + 5 = 9 but not by 2 while 2 is a digit of 225.  David A. Corneth, Jan 28 2021


PROG

(PARI) is(n) = { my(d = digits(n), sd = vecsum(d), s = Set(d)); if(sd != 0 && n % sd == 0, if(s[1] == 0, return(1) ); for(i = 1, #s, if(n % s[i] != 0, return(1) ) ); 0 ); 0 } \\ David A. Corneth, Jan 28 2021


CROSSREFS

Intersection of A087140 and A005349.
Cf. A087142.
Sequence in context: A087119 A043688 A004752 * A178461 A043724 A043571
Adjacent sequences: A087138 A087139 A087140 * A087142 A087143 A087144


KEYWORD

nonn,base


AUTHOR

Reinhard Zumkeller, Aug 18 2003


STATUS

approved



