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.io.*;
import java.util.*;

public class test1
{

    public static void main(String[] args) throws Exception
    {
        new test1().run();
    }

    PrintWriter out = null;
    
    boolean isOK(int a, int b)
    {
        boolean[] v=new boolean[10];
        while(a>0)
        {
            v[a%10]=true;
            a/=10;
        }
        
        while(b>0)
        {
            if(v[b%10])
                return true;
            b/=10;
        }
        
        return false;
    }
    void run() throws Exception
    {
        Scanner in = new Scanner(System.in);
        out = new PrintWriter(System.out);
        int x = in.nextInt();
        
        int count=0;
        for(int i=1;i*i<=x;i++)
        {
            if(x%i==0)
            {
                if(isOK(x,i))
                    count++;
                if(x/i!=i && isOK(x,x/i))
                    count++;
            }
        }
        out.println(count);
        out.close();
    }
}