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Problem of the Week 1013

Digit Rotation

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The number 102564 has the property that when it is multiplied by 4, its rightmost digit moves to the left and the other digits move one space to the right (4 × 102564 = 410256). Find a number that has this same property when multiplied by 6.

Source: Puzzles 101, by Nobuyuki Yoshigahara, a wonderful new problem book by the famed Japanese puzzleman. Published by AK Peters.

© Copyright 2004 Stan Wagon. Reproduced with permission.

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21 September 2004