Description: The Little Elephant loves numbers. He has a positive integer x. The Little Elephant wants to find the number of positive integers d, such that d is the divisor of x, and x and d have at least one common (the same) digit in their decimal representations. Help the Little Elephant to find the described number. Input Format: A single line contains a single integer x (1 ≤ x ≤ 109). Output Format: In a single line print an integer — the answer to the problem. Note: None