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=int(input())
ans=0
ans=0
for i in range(1,int(n**.5)+1):
    if n%i:
        continue
 
    f=str(i)
    s=''
    if i**2!=n:
        s =str(n//i)
    for i in range(10):
        if str(i) in f and str(i) in str(n):
            ans += 1
            break
    for i in range(10):
        if str(i) in s and str(i) in str(n):
            ans += 1
            break
print(ans)