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
def same(x, c):
	x=[i for i in str(x)]
	c=[i for i in str(c)]
	for i in x:
		if i in c:
			return True
	return False
 
x=int(input())
ans=0
for i in range(1, int(x**0.5)+1):
	if x%i==0:
		if x//i==i:
			if same(x//i, x):
				ans+=1
		else:
			if same(i, x):ans+=1
			if same(x//i, x):ans+=1
print(ans)