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
import math

x=int(input())

digit=""
for i in range(10):
    if str(i) in str(x):
        digit+=str(i)


counter=0
for i in range(1,int(math.sqrt(x))+1):
    if x%i==0:
        for j in str(i):
            if j in digit:
                counter+=1
                break
        for j in str(x//i):
            if (j in digit) and (x//i > i) :
                counter+=1
                break
print(counter)