polydivisible and pandigital

There exists exactly one 10-digit number that is both polydivisible and pandigital . What is it?

Some vocabulary before we start: pandigital means that the number contains all digits 0-9. Given that the answer has only 10 digits, this means that you will only be able to use each digit exactly once. polydivisible means that the first n digits have to be divisible by n . For example, if you covered up all but the first 7 digits, you would see a number divisible by 7.

You will likely need a pencil and paper for this problem, but a calculator is not necessarily required.