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Number = Sum (Digit)*Product (Digit) (Posted on 2010-06-21) Difficulty: 2 of 5
N is a positive base ten integer having at least 2-digits but at most 4-digits, which is obtained by multiplying the sum of its digits with the product of its digits. It is known that N cannot contain any leading zero.

Determine all possible value(s) of N.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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Count em up! | Comment 4 of 10 |
I find 518 unique products, using numbers between 11 and 9999, but excluding any where zero occurs after a non-zero digit (or 519 to allow for a product of zero if non-leading zero allowed)..  
  Posted by ed bottemiller on 2010-06-21 15:10:20
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