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
def fact(n):
    a=[]
    for i in range(1,int(n**0.5)+1):
        if n%i==0:
            a.append(i)
            if n/i!=i:
                a.append(n/i)
    return a
def check(a,b):
    count=0
    for i in a:
        for j in str(i):
            if j in str(b):
                count+=1
                break
    return count
n=int(raw_input())
a=fact(n)
print check(a,n)