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
n = input()
digitos = set(map(int, list(n)))
n = int(n)
# print(digitos)
from math import ceil
soma = 0

limite = int(n**(1/2))
i = 1
while i <= limite:
	if n%i == 0:
		d = set(map(int, list(str(i))))
		# print(d)
		# print(i)
		for j in d:
			if j in digitos:
				soma+=1
				break
		if int(n/i) == i:
			i+=1
			continue
		# print(int(n/i))
		d = set(map(int, list(str(n//i))))
		# print(d)
		for j in d:
			if j in digitos:
				soma+=1
				break

	i+=1
print(soma)
