PUZZLET 023

Integer Products by Digit Rotation

Find a 6-digit integer abcdef with the following properties:

Take the rightmost digit and place it in front of the integer to form a new number (abcdef --> fabcde).

The new one is the product of the old one and the shifted digit (fabcde = f*abcdef).

What was the original integer?

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Last Updated: January 7th, 2010.