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A032533 When expressed in base 2 and then interpreted in base 10, is a multiple of the original number. 4
1, 2, 4, 8, 10, 16, 20, 21, 32, 40, 42, 64, 80, 84, 100, 128, 160, 168, 200, 256, 273, 320, 336, 400, 512, 546, 640, 672, 800, 1000, 1024, 1092, 1280, 1344, 1600, 2000, 2048, 2184, 2231, 2510, 2560, 2688, 2730, 3200, 3300, 4000, 4096, 4368, 4462 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Note that A025612 is a subset of this sequence (numbers of form 2^i*10^j, with i, j >= 0).

EXAMPLE

8 in base 2 is 1000, which interpreted in base 10 is 1000=125*8

MATHEMATICA

Select[Range[10000], Mod[FromDigits[IntegerDigits[#, 2]], #] == 0 &] (* Carl Najafi, Aug 18 2011 *)

CROSSREFS

Cf. A032532, A032534.

Sequence in context: A022340 A093886 A125732 * A062884 A026169 A177931

Adjacent sequences:  A032530 A032531 A032532 * A032534 A032535 A032536

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), april 1998.

EXTENSIONS

Example and better description from Erich Friedman (efriedma(AT)stetson.edu) Jul 21 2001

Edited by Erich Friedman (efriedma(AT)stetson.edu) Feb 09 2002

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Last modified February 17 16:34 EST 2012. Contains 206052 sequences.