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

x = int(raw_input())

facts = []
import math

for i in range(1, int(math.floor(math.sqrt(x))) + 1):
    if x % i == 0:
        facts.append(i)
        if x / i != i:
            facts.append(x / i)
count = 0

for i in facts:
    for j in str(i):
        if j in str(x):
            count += 1
            break

print count
