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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.logging.Level;
import java.util.logging.Logger;

/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */
/**
 *
 * @author pttrung
 */
public class Code {

    public static void main(String[] args) {
        try {
            BufferedReader in = new BufferedReader(new InputStreamReader(System.in));

            int x = Integer.parseInt(in.readLine());
            int result = 0;
            for (int i = 1; i * i <= x; i++) {
                if (x % i == 0) {
                    if (check(x, i)) {
                        result++;
                    }
                    if (x / i != i && check(x, x / i)) {
                        result++;
                    }
                }
            }
            System.out.println(result);

        } catch (IOException ex) {
            Logger.getLogger(Code.class.getName()).log(Level.SEVERE, null, ex);
        }
    }

    public static boolean check(int x, int y) {
        String a = x + "";
        String b = y + "";
        for (int i = 0; i < a.length(); i++) {
            if (b.indexOf(a.charAt(i)) >= 0) {
                return true;
            }
        }
        return false;
    }
}
