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Pandigital and divisible (Posted on 2017-12-29) Difficulty: 3 of 5
List all the numbers like 2,438,195,760
i.e.
- being pandigital (10 distinct digits)
and
- divisible by each of the integers below 23,
19
excluded.

No Solution Yet Submitted by Ady TZIDON    
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Solution solution Comment 3 of 3 |
Given that the pandigital is composed of the factors in 1 through 22 excluding 19, requires the pandigital to be a multiple of 12252240. There are four such 10-digit pandigital numbers:
12252240×199 = 2438195760
12252240×309 = 3785942160
12252240×388 = 4753869120
12252240×398 = 4876391520

An interesting fact is that the pandigital 4876391520 is exactly double that of the pandigital 2438195760.

  Posted by Dej Mar on 2017-12-29 22:10:11
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