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

x = input()

xd = str(x)
xds = set()
for c in xd:
    xds.add(c)

def check(i):
    for c in str(i):
        if c in xds:
            return True
    return False

count = 0 #for x itself

s = int(sqrt(x))

for i in xrange(1, s+1):
    if i*i == x:
        if check(i):
            count += 1
    elif x % i == 0:
        if check(i):
            count += 1
        if check(x/i):
            count += 1

print count
