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

A single line contains a single integer x (1 ≤ x ≤ 109).

Output

In a single line print an integer — the answer to the problem.

Examples

Input

1


Output

1


Input

10


Output

2
import math
n = int(raw_input())
nums = set(str(n))
to, ans = int(math.sqrt(n)) + 1, 0
for i in range(1, to):
    if n % i == 0:
        for j in str(i):
            if j in nums:
                ans += 1
                #print(str(i))
                break
    if n % i == 0 and i < n // i:
        for j in str(n // i):
                    if j in nums:
                        ans += 1
                        #print(str(n // i))
                        break  
print(ans)