# Sunday Times Teaser 2531

*by Graham Smithers*

#### Published: 27 March 2011 (link)

A Harshad number (or H-number) is any number that is divisible by the sum of its digits. Using each non-zero digit just the once, I have written down a 9-figure H-number. Reading from left to right, it also consists of three 2-figure H-numbers followed by a 3-figure H-number. Again working from left to right through the 9-figure number, the last five digits form a 5-figure H-number. Reversing the order of the first five digits of the 9-figure number also gives a 5-figure H-number.

What is the 9-figure number?

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