10 digit numbers

Arroway · May 26th, 2004, 1:33 pm

Ok, so there is a ten digit number. The number contains each of the numbers from 0 to 9 exactly once.The left most digit is divisible by one. The two leftmost digits are divisible by two. The three leftmost digits are divisible by three, etc.(If the above is not clear, assume the number can be displayed as d1 d2 d3 d4 d5 d6 d7 d8 d9 d10Then d1 is divisible by one, 10d1 + d2 is divisible by two, 100d1+10d2+d3 is divisible by three, etc.)What is the number?I am 99% but not 100% certain that there is a unique (in the mathematical sense) answer.

giorgio · May 26th, 2004, 2:47 pm

Arroway, You are right; there is only one and it is 3816547290

Arroway · May 28th, 2004, 1:07 am

Nice giorgio! And you are right, there is only one answer. I wasn't sure I had checked all the possibilities before, but now I have.

ckc226 · May 28th, 2004, 6:40 am

Arroway,I have got one answer as well. It's 3816547290. CK