Harshad Numbers

A Harshad Number in a given number base is an integer that is divisible by the sum of its digits when written in that base.

For example, the number 11 in base 5 (which is 6 in base 10) is divisible by 1 + 1 = 2 in base 5. It is therefore a Harshad number in base 5.

1 is the first Harshad number in base 5. Let H be the 1000th Harshad Number in base 5. What are the first 3 digits of H?

Details and assumptions

Remember: H is in base 5!


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