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.

## Number Problem

### Number Problem

“Nothing quite brings out the zest for life in a person like the thought of their impending death”

― Jhonen Vasquez, Johnny the Homicidal Maniac: Director's Cut

― Jhonen Vasquez, Johnny the Homicidal Maniac: Director's Cut

### Number Problem

I think I got it.

I was hoping it'd be one of those insta-trick things (like 1234567890, or 3216549870, etc)... but it was not as far as I can tell.

I got it. logical deductions got me most of the way there.

I was hoping it'd be one of those insta-trick things (like 1234567890, or 3216549870, etc)... but it was not as far as I can tell.

I got it. logical deductions got me most of the way there.

It's not me, it's someone else.

### Number Problem

I completely forgot about it.

I'll try Friday. Work, plus prepping for an exam this week.

I'll try Friday. Work, plus prepping for an exam this week.

“Nothing quite brings out the zest for life in a person like the thought of their impending death”

― Jhonen Vasquez, Johnny the Homicidal Maniac: Director's Cut

― Jhonen Vasquez, Johnny the Homicidal Maniac: Director's Cut

### Number Problem

Leisher wrote:Source of the post I completely forgot about it.

I'll try Friday. Work, plus prepping for an exam this week.

BUMP

It's not me, it's someone else.

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