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 readln(inp=None): return tuple(map(int, (inp or input()).split()))

x, = readln()
ans = 0
d = 1
dig = set(list(str(x)))
while d * d <= x:
    if x % d == 0:
        for var in set((d, x // d)):
            ans += len(set(list(str(var))).intersection(dig)) > 0
    d += 1
print(ans)
