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National and Regional Contests
Turkey Contests
National Olympiad First Round
2008 National Olympiad First Round
34
34
Part of
2008 National Olympiad First Round
Problems
(1)
Turkey NMO 2008 1st Round - P34 (Number Theory)
Source:
8/27/2012
We call a positive integer "special" if the number is divided by all of its digits (except the
0
0
0
s). At most how many consequtive special numbers are there?
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<span class='latex-bold'>(A)</span>\ 9 \qquad<span class='latex-bold'>(B)</span>\ 10 \qquad<span class='latex-bold'>(C)</span>\ 12 \qquad<span class='latex-bold'>(D)</span>\ 13 \qquad<span class='latex-bold'>(E)</span>\ 14
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14