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
n = input()

if len(str(n)) == 1:
    print 1
    exit()

s = set(str(n))
r = 0
summary = 0

for i in xrange(1, int(n**0.5) + 1):
    r = n / i

    if n % i == 0:
        if len(set(str(i)) & s) != 0:
            summary += 1

    if r == i:
        continue

    if n % r == 0:
        if len(set(str(r)) & s) != 0:
            summary += 1

print summary