What is the smallest positive five-digit integer, with all different digits, that is divisible by each of its non-zero digits? (The number itself may have 0 as a digit.)

Guest Feb 23, 2020

#3**0 **

*What is the smallest positive five-digit integer, with all different digits, that is divisible by each of its non-zero digits? (The number itself may have 0 as a digit.)*

Does the problem allow the 5-digit integer to begin with a zero?

If so, then submitted for your approval is the number **01236**

The problem does not explicity prohibit the leading zero.

If you make the assumption that a leading zero is not allowed,

and I make the assumption that a leading zero is allowed,

then who says my assumption is less valid than yours?

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Guest Feb 23, 2020