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VTMO 2026 - Grade 6 - Final - SET 5 - Self-study Question 11

VTMO · VTMO 2026 - Grade 6 - Final - SET 5 - Self-study

Question 11

A natural number is called a “Harshad number” if it is divisible by the sum of all its digits. For example, $2024$ is a Harshad number because $2+0+2+4=8$ and $2024$ is divisible by $8$. How many four-digit Harshad numbers are less than $2024$ and divisible by $9$?

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