### Number Problem

Posted:

**Tue Sep 11, 2018 2:52 pm**There is a unique number of ten digits ...

_____ _____ _____ _____ _____ _____ _____ _____ _____ _____

1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

... for which the following holds:

All the digits from 0 to 9 occur exactly once in the number;

The first digit from the left is divisible by 1;

The number formed by the first two digits is divisible by 2;

The number formed by the first three digits is divisible by 3;

The number formed by the first four digits is divisible by 4;

The number formed by the first five digits is divisible by 5;

The number formed by the first six digits is divisible by 6;

The number formed by the first seven digits is divisible by 7;

The number formed by the first eight digits is divisible by 8;

The number formed by the first nine digits is divisible by 9;

The number formed by the first ten digits is divisible by 10;

Which number is this?

I'm posting the problem without sitting down to figure it out. I know some of you like puzzles, so here you go. I'll be back after I have to compare answers.

_____ _____ _____ _____ _____ _____ _____ _____ _____ _____

1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

... for which the following holds:

All the digits from 0 to 9 occur exactly once in the number;

The first digit from the left is divisible by 1;

The number formed by the first two digits is divisible by 2;

The number formed by the first three digits is divisible by 3;

The number formed by the first four digits is divisible by 4;

The number formed by the first five digits is divisible by 5;

The number formed by the first six digits is divisible by 6;

The number formed by the first seven digits is divisible by 7;

The number formed by the first eight digits is divisible by 8;

The number formed by the first nine digits is divisible by 9;

The number formed by the first ten digits is divisible by 10;

Which number is this?

I'm posting the problem without sitting down to figure it out. I know some of you like puzzles, so here you go. I'll be back after I have to compare answers.