

A110806


Numbers n such that sum of the digits as well as number of digits divides n.


1



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 24, 30, 36, 40, 42, 48, 50, 54, 60, 70, 72, 80, 84, 90, 102, 108, 111, 114, 117, 120, 126, 132, 135, 144, 150, 153, 156, 162, 171, 180, 192, 195, 198, 201, 204, 207, 210, 216, 222, 225, 228, 234, 240, 243, 252
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OFFSET

1,2


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000


EXAMPLE

48 is a member as sum of the digits 4+8 = 12 and number of digits 2 both divide 48.


MATHEMATICA

Select[Range[260], IntegerQ[ #/Sum[DigitCount[ # ][[i]]*i, {i, 1, 9}]] && IntegerQ[ #/Floor[Log[10, # ] + 1]] &] (* Stefan Steinerberger, Mar 18 2006 *)
Select[Range[300], And@@Divisible[#, {Total[IntegerDigits[#]], IntegerLength[ #]}]&] (* Harvey P. Dale, May 10 2015 *)


CROSSREFS

Cf. A110805.
Sequence in context: A308560 A285815 A337741 * A180468 A271955 A342650
Adjacent sequences: A110803 A110804 A110805 * A110807 A110808 A110809


KEYWORD

base,easy,nonn


AUTHOR

Amarnath Murthy, Aug 14 2005


EXTENSIONS

Corrected and extended by Stefan Steinerberger, Feb 17 2006


STATUS

approved



