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 java.util.*;
public class B
{
	public static void main(String args[])
	{
		Scanner sc=new Scanner(System.in);
		int x=sc.nextInt();
		int c=0;
		for(int i=1;i<=Math.sqrt(x);i++)
		{	
			
			if(x%i==0)
			{
				if(call(i+"",x+""))
					c++;
				if(i*i<x && call(x/i+"",x+""))
					c++;
			}
		}
		System.out.println(c);
	}

	public static boolean call(String a,String b)
	{
		for(int j=0;j<b.length();j++)
		{
			for(int i=0;i<a.length();i++)
			{
				if(a.charAt(i)==b.charAt(j))
				return true;
			}
		}
		return false;
	}
}
				