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Numbers divisible by sum of their digits

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posted Aug 01 '12

rajeshchitnis gravatar image rajeshchitnis
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updated Aug 01 '12

trueshelf gravatar image trueshelf
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Show that there is an infinite sequence of natural numbers ${p_1,p_2,\ldots}$ such that for every $i\in \mathbb{N}$ the number $p_i$ does not have 0 as any of its digits but is divisible by the sum of its digits.

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Posted: Aug 01 '12

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Last updated: Aug 01 '12