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His numbers

My nephew wrote down a list of 10 numbers, the first of which – a three-figure number – was divisible by 1×1, which is not saying much! The second was divisible by 2×2, the next by 3×3, and so on up to the 10th being divisible by 10×10. Then throughout the list he consistently replaced digits by letters, with different letters used for different digits. Finally, he shuffled the order of the numbers to give IT IS HIS NOS I TOO DO GET TO USE.

Please send in the number that makes his DESIGN.

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 9 November. The Editor’s decision is final. Please send entries to Enigma 1667, New Ů��С��Ƶ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1661 Latin art: squares 9, 12 and 20 were also red

The winner George Stocks of Cupar, Fife, UK