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
from math import sqrt, floor

x = int(input())

ans = 0

ds = set()

l = floor(sqrt(x))

for d in range(1, l + 1):
    if x % d == 0:
        ds.add(d)
        ds.add(x // d)

x = str(x)

def check(d):
    d = str(d)
    for c in d:
        if c in x:
            return True
    return False

print(sum(map(check, ds)))

