A 10-digit number 2404563210 has an interesting feature: reading from left to right - any k-digit string is divisible by k.
No big deal ! IMHO there are 2492 numbers like that.
At least one of them utilizes only 3 distinct digits.
Find this number.
444402000
I used some helpful rules about divisibility by small integers, but no computer. It took about 15 minutes.
|
Posted by FrankM
on 2018-05-17 12:26:09 |