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,floor
n = raw_input()
ndict = {}
for c in n:
	ndict[c] = 1
n = int(n)

if n < 10:
	print 1
	exit(0)


sq = floor(sqrt(n))
ans = 0
i = 1
already_n = False
while i <= sq:
	if n % i == 0:
		d = n/i
		if d*d != n:
			for c in str(d):
				if ndict.get(c,0) != 0:
					ans += 1
					break
		for c in str(i):
			if ndict.get(c,0) != 0:
				ans += 1
				break
	i += 1
print ans