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
#coding=utf-8

from math import *

x = int(input())

ans = 0
#print sqrt(1000)

def check(x, d):
	s1 = "%d"%d
	s2 = "%d"%x
#	print d, s1, s2
	for i in s1:
		if i in s2:
			return True
	return False
for d in range(1, int(sqrt(x))+1):
	if x % d == 0:
		x_d = x / d
		if check(x, d):
			ans+= 1
		if (x_d != d):
			if check(x, x_d):
				ans+=1
print ans
		