Among n consecutive three digit numbers, there must be a number whose sum of all digits can divide this number to find the minimum value of n

Among n consecutive three digit numbers, there must be a number whose sum of all digits can divide this number to find the minimum value of n

twenty-seven
Because the maximum sum of three digits is 9 + 9 + 9 = 27
So in 27 consecutive numbers, there must be a number that can be divided by 1 to 27