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 = int(input())
numbers = [int(i) for i in str(x)]
count = 0
for i in range(1, int(sqrt(x)) + 1):
    if x % i == 0:
        digits = [int(j) for j in str(i)]
        flag = 0
        for j in digits:
            if j in numbers:
                flag = 1
                break
        if flag:
            count += 1
        digits = [int(j) for j in str(x // i)]
        flag = 0
        for j in digits:
            if j in numbers:
                flag = 1
                break
        if flag and x // i != i:
            count += 1
print (count)