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.awt.geom.*;
import java.util.*;
public class Main {

    //0045 start
    private void doit() {
        Scanner sc = new Scanner(System.in);
        while(sc.hasNext()){
            int x = sc.nextInt();
            String xstr = ""+ x;
            HashSet<Character> xdigitlist = new HashSet<Character>();
            int len = xstr.length();
            for(int i = 0; i < len; i++){
                xdigitlist.add(xstr.charAt(i));
            }
            
            int count = 0;
            for(int i = 1; i * i <= x; i++){
                if(x % i == 0){
                    String istr = "" + i;
                    len = istr.length();
                    for(int j = 0; j < len; j++){
                        if(xdigitlist.contains(istr.charAt(j))){
                            count++;
                            break;
                        }
                    }
                    
                    //another
                    int anothernum = x / i;
                    if(anothernum == i) continue;
                    String anotherstr = "" + anothernum;
                    len = anotherstr.length();
                    for(int j = 0; j < len; j++){
                        if(xdigitlist.contains(anotherstr.charAt(j))){
                            count++;
                            break;
                        }
                    }
                }
            }
            System.out.println(count);
        }
    }

    public static void main(String[] args) {
        Main obj = new Main();
        obj.doit();
    }
}