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Thursday, April 3, 2008

Fw: Fun with numbers

A number of 9 digits has the following properties:

* The number comprising the leftmost two digits is divisible by 2,that comprising the leftmost three digits is divisible by 3, theleftmost four by 4, the leftmost five by 5, and so on for the ninedigits of the number i.e. the number formed from the first n digits isdivisible by n, 2<=n<=9.

*Each digit in the number is different i.e. no digits are repeated.

*The digit 0 does not occur in the number i.e. it is comprised only ofthe digits 1-9 in some order.Find the number.

Example :- 381654729

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