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.)
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?
.