A064481 Numbers which are divisible by the sum of their base-5 digits.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 18, 20, 24, 25, 26, 27, 28, 30, 32, 36, 40, 42, 45, 48, 50, 51, 52, 54, 56, 60, 63, 64, 65, 66, 72, 75, 76, 78, 80, 85, 88, 90, 91, 96, 99, 100, 102, 104, 105, 112, 117, 120, 125, 126, 128, 130, 132, 135, 136, 138, 140, 144, 145

Offset: 1

Author

Klaus Brockhaus, Oct 03 2001

Keywords

• base
• easy
• nonn

Examples

			Base-5 representation of 28 is 103; 1 + 0 + 3 = 4 divides 28.
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A005349 (base 10), A049445 (base 2), A064150 (base 3), A064438 (base 4), A344341.

Programs

ARIBAS

: maxarg := 160; for n := 1 to maxarg do if n mod sum(basearray(n,5)) = 0 then write(n," "); end; end; function basearray(n,b: integer): array; var k: integer; stk: stack; begin while n > 0 do k := n mod b; stack_push(stk,k); n := (n - k) div b; end; return stack2array(stk); end;.

PARI

isok(n) = !(n % sumdigits(n, 5)); \\ Michel Marcus, Jun 24 2018

Extensions

Offset changed from 0 to 1 by Harry J. Smith, Sep 15 2009