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 sys
from math import sqrt
x=int(raw_input())

ans=0


    

for i in range(1,int(sqrt(x))+1):
    if x%i==0:
        f=False
        for j in str(i):
            if j in str(x):
                f=True
        if f:
            ans+=1
         #   print ans,i
        f=False
        for j in str(x/i):
            if j in str(x):
                f=True
                
        if f:
            ans+=1
        #    print ans,x/i
            
if x==1:
    ans-=1
elif i*i==x and f:
    ans-=1
    
print ans