Problem

Source: BdMO 2020 Final Primary Category Problem 7

Tags: number theory, numbers



Tiham is trying to find 6 digit positive integers$ PQRSTU$ (where $PQRSTU $are not necessarily distinct). But he only wants the numbers where the sum of the 3 digit number$ PQR$, and the 3 digit number $STU$ is divisible by 37. How many such numbers Tiham can find?