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
n, ans, i = input(), 0, 1
s = set(list(str(n)))
while i*i<n:
    if n%i!=0:
        i+=1
        continue
    if set(list(str(i))).intersection(s):
        ans+=1
    if set(list(str(n/i))).intersection(s):
        ans+=1
    
    i+=1
if i*i==n and set(list(str(i))).intersection(s):
    ans+=1
print ans
