Little Elephant and Numbers
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.
A single line contains a single integer x (1 ≤ x ≤ 109).
In a single line print an integer — the answer to the problem.
Input
A single line contains a single integer x (1 ≤ x ≤ 109).
Output
In a single line print an integer — the answer to the problem.
Samples
1
1
10
2