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A073911 Smallest number m such that m and the product of digits of m are both divisible by 5n, or 0 if no such number exists. 4
5, 0, 135, 0, 525, 0, 175, 0, 495, 0, 0, 0, 0, 0, 3525, 0, 0, 0, 0, 0, 735, 0, 0, 0, 55125, 0, 3915, 0, 0, 0, 0, 0, 0, 0, 1575, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15975, 0, 0, 0, 37975, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9765, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 155625, 0, 0, 0, 0, 0, 31995, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Here 0 is regarded as not divisible by any number.

a(n) = 0 if n is divisible by 2 or contains a prime divisor > 9. - Sascha Kurz, Aug 23 2002

LINKS

Table of n, a(n) for n=1..83.

MAPLE

f := 5:for i from 1 to 400 do b := ifactors(f*i)[2]: if b[nops(b)][1]>9 or (f*i mod 10) =0 then a[i] := 0:else j := 0:while true do j := j+f*i:c := convert(j, base, 10): d := product(c[k], k=1..nops(c)): if (d mod f*i)=0 and d>0 then a[i] := j:break:fi: od:fi:od:seq(a[k], k=1..400);

CROSSREFS

Cf. A073906, A073907, A073908, A073909, A073910, A073912.

Sequence in context: A103709 A122045 A266324 * A157302 A275759 A222327

Adjacent sequences:  A073908 A073909 A073910 * A073912 A073913 A073914

KEYWORD

nonn,base

AUTHOR

Amarnath Murthy, Aug 18 2002

EXTENSIONS

More terms from Sascha Kurz, Aug 23 2002

STATUS

approved

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Last modified October 18 10:28 EDT 2017. Contains 293507 sequences.