A Unique 10-digit Number

There exists a unique 10-digit number abcdefghij\overline{abcdefghij} which contains each of the digits 0, 1, 2, \dots, 9 exactly once, such that for each kk, 1k101 \le k \le 10, the number formed by the first kk digits of abcdefghij\overline{abcdefghij} is divisible by kk. For example, for k=4k = 4, the number abcd\overline{abcd} is divisible by 4.

Find the three-digit number abc\overline{abc}.

×

Problem Loading...

Note Loading...

Set Loading...