Taiwan elementary school ACTIVITY

There is a unique 9 digit number a b c d e f g h i \overline{abcdefghi} in base 10 such that all digits are different, 0 isn't any digit, and the following 9 properties hold:

a \overline{a} is divisible by 1

a b \overline{ab} is divisible by 2

a b c \overline{abc} is divisible by 3

a b c d \overline{abcd} is divisible by 4

(And so on, until)

a b c d e f g h i \overline{abcdefghi} is divisible by 9

What is the number a b c d e f g h i \overline{abcdefghi} ?


The answer is 381654729.

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Jul 4, 2018

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