A077351 Smallest multiple of n using all the digits of all its divisors (a permutation of the concatenation of its divisors), or 0 if no such number exists.

1, 12, 0, 124, 15, 1236, 0, 1248, 0, 11250, 0, 0, 0, 21714, 11355, 112864, 0, 0, 0, 10122540, 0, 0, 0, 1122234648, 1525, 112632, 0, 11242784, 0, 10112335560, 0, 11223648, 0, 131274, 13755, 0, 0, 123918, 0, 10012245480, 0, 11122234746, 0

Offset

1,2

Comments

For a list of all values of n up to 10000 where a(n)=0, see A179197. - Jon E. Schoenfield, Jul 10 2010

Links

Jon E. Schoenfield, Table of n, a(n) for n = 1..10000

Maple

A077351 := proc(n) local ndvs, ds, d, m, muldivs ; ndvs := [] ; ds := numtheory[divisors](n) ; for d from 1 to nops(ds) do ndvs := [op(ndvs), op(convert(op(d, ds), base, 10))]; od ; ndvs := sort(ndvs) ; m := floor( 10^(nops(ndvs)-1)/n) ; while m*n < op(-1, ndvs)*10^(nops(ndvs)-1) do muldivs := sort(convert(m*n, base, 10)) ; if muldivs = ndvs then RETURN(m*n) ; fi ; m := m+1 ; od ; RETURN(0) ; end: for n from 1 to 25 do print(n, A077351(n)) ; od ; # R. J. Mathar, Mar 20 2007

Crossrefs

Cf. A077352, A179197.

Sequence in context: A375680 A376443 A376441 * A370018 A119530 A012332

Adjacent sequences: A077348 A077349 A077350 * A077352 A077353 A077354

Keyword

base,nonn

Author

Amarnath Murthy, Nov 05 2002

Extensions

Corrected and extended by R. J. Mathar, Mar 20 2007

a(24) from Don Reble, Nov 07 2007; a(25)-a(29) from R. J. Mathar, Mar 20 2007

More terms from Jon E. Schoenfield, Jul 02 2010

Status

approved