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.*;
import static java.lang.Math.*;
import java.io.*;

public class SolutionB {
       
      public static void main(String args[])throws IOException{
              Scanner sc = new Scanner(System.in);
              int n = sc.nextInt();
              Set<Integer> set = new HashSet<Integer>();
              int m = n;
              while(m > 0){
                     int d = m % 10;
                     m /= 10;
                     set.add(d);
              }
              int ans = 0;
              for(int i = 1; i <= (int)Math.sqrt(n); i++){
                     if(n % i == 0){
                            m = i;
                            while(m > 0){
                                   int d = m % 10;
                                   m /= 10;
                                   if(set.contains(d)){
                                          ans++;
                                          break;
                                   }
                            }
                            m = n/i;
                            if(m != i){
                                   while(m > 0){
                                          int d = m % 10;
                                          m /= 10;
                                          if(set.contains(d)){
                                                 ans++;
                                                 break;
                                          }
                                   } 
                            }
                     }
              }
              System.out.println(ans);
      }
}