A087141 Numbers divisible by the sum of their digits, but not by all their individual digits.

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

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
(Python)
def ok(n):
    d = list(map(int, str(n)))
    if n == 0 or n%sum(d): return False
    return 0 in d or any(n%di for di in set(d))
print([k for k in range(271) if ok(k)]) # Michael S. Branicky, Oct 18 2021

Crossrefs

Intersection of A087140 and A005349.

Cf. A087142.

Sequence in context: A087119 A043688 A004752 * A349090 A178461 A043724

Adjacent sequences: A087138 A087139 A087140 * A087142 A087143 A087144

Keyword

nonn,base

Author

Reinhard Zumkeller, Aug 18 2003

Status

approved