Find all the two digit numbers with exactly 10 divisors, and find the sum of all divisors of each number

Find all the two digit numbers with exactly 10 divisors, and find the sum of all divisors of each number


Because 10 = 2 × 5 = 1 × 10, this number is 29 > 100, or the number decomposition formula can only be 3 × 24 = 48, or 5 × 24 = 80, it is two digits. Therefore, the two digits of exactly 10 divisors are only 48 and 80, and the sum of their divisors is: (1 + 3) (1 + 2 + 4 + 8 + 16) = 124; (1 + 5) (1 + 2 + 4 + 8 + 16) = 186