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Palindromic numbers read the same backwards and forwards, e.g. 7227 or 10101.

What is the sum of the digits of the largest 4-digit palindromic number which is divisible by 15? 


If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.


This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.