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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
OFFSET
1,2
LINKS
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 * A357769 A180468 A271955
KEYWORD
base,easy,nonn
AUTHOR
Amarnath Murthy, Aug 14 2005
EXTENSIONS
Corrected and extended by Stefan Steinerberger, Feb 17 2006
STATUS
approved