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A059436 Smallest number whose set of divisors contains each digit 0-9 at least n times. 4
108, 540, 1140, 1890, 3420, 5460, 7980, 11760, 16380, 29700, 23520, 23760, 44460, 38220, 51480, 47880, 41580, 97020, 87780, 71820, 98280, 103740, 83160, 154440, 124740, 143640, 207480, 166320, 278460, 382200, 263340, 249480, 311220, 335160 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert G. Wilson v, Table of n, a(n) for n = 1..402 .

Erich Friedman, What's Special About This Number? (See entry 7980.)

EXAMPLE

The divisors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540 and every digit appears at least twice in this list.

MATHEMATICA

f[n_] := Block[{s = Transpose@ Tally[ Sort[ Flatten[ IntegerDigits@# & /@ Divisors@ n]]]}, If[First@s == {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, Min@ Last@s, 0]]; t = Table[0, {50}]; k = 6; While[k < 400000, a = f@k; If[ t[[a]] == 0, t[[a]] = k; Print[{a, k}]]; k += 6]; t [From Robert G. Wilson v, Jul 31 2010]

PROG

(Haskell)

import Data.List (group, sort)

a059436 n = head [x | x <- [1..],

   let dds = map length $ group $ sort $ concatMap show $ a027750_row x,

   minimum dds == n, length dds == 10]

-- Reinhard Zumkeller, Feb 04 2012

CROSSREFS

Cf. A027750; subsequence of A095050, A095048.

Sequence in context: A202428 A224526 A063880 * A233685 A160919 A129027

Adjacent sequences:  A059433 A059434 A059435 * A059437 A059438 A059439

KEYWORD

base,nonn,nice

AUTHOR

Erich Friedman, Feb 01 2001

EXTENSIONS

More terms from David W. Wilson, Aug 31 2001

Offset corrected by R. J. Mathar, Jun 02 2010

STATUS

approved

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Last modified October 24 07:57 EDT 2014. Contains 248502 sequences.