Number Problem

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Leisher
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Number Problem

Post by Leisher »

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.
“Every record been destroyed or falsified, books rewritten, pictures repainted, statues, street building renamed, every date altered. The process is continuing day by day. History stops. Nothing exists except endless present in which the Party is right.”
GORDON
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Number Problem

Post by GORDON »

1234567890?

Nope, missed the combined aspect.
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TheCatt
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Number Problem

Post by TheCatt »

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.
It's not me, it's someone else.
TheCatt
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Number Problem

Post by TheCatt »

And, thank you for posting, that was fun.
It's not me, it's someone else.
TheCatt
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Number Problem

Post by TheCatt »

No one else trying?
It's not me, it's someone else.
Leisher
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Number Problem

Post by Leisher »

I completely forgot about it.

I'll try Friday. Work, plus prepping for an exam this week.
“Every record been destroyed or falsified, books rewritten, pictures repainted, statues, street building renamed, every date altered. The process is continuing day by day. History stops. Nothing exists except endless present in which the Party is right.”
TheCatt
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Number Problem

Post by TheCatt »

Leisher wrote: 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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