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

x = raw_input()
n = int(math.sqrt(int(x)))

if int(n) == 1:
    print "1"
    
else:
    ans = 0

    for i in range(1,n+1):
        if int(x)%i == 0:

            temp = int(x)/i

            for digit in str(i):
                if digit in str(x):
                    ans+=1
                    break

            if temp != i:
                for digit in str(temp):
                    if digit in str(x):
                        ans+=1
                        break


    print ans
