### Brain Teasers

# 3 to 40

Math
Math brain teasers require computations to solve.

I am thinking of an even number. The ratio of the sum of its digits to the product of its digits is 3 to 40 . The number is divisible by (40-3) .

What is the smallest number that meets these requirements??

What is the smallest number that meets these requirements??

### Hint

Sum of the digits = 18Product of the digits = 240

### Answer

5328 is the number.3/40 = 18/240

S.O.D. = 18; P.O.D. = 240

5328 / 37 = 144

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