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.Scanner;

public class code_136_b {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        String s = sc.next();
        int k = 0;
        int n = Integer.parseInt(s);
        if (n == 1) {
            System.out.println(1);
            return;
        }
        for (int i = 1; i <= Math.sqrt(n); i++) {
            if (n % i == 0) {
                for (int j = 0; j < (i + "").length(); j++) {
                    if (s.indexOf((i + "").charAt(j)+"") > -1) {
                        k++;
                        break;
                    }
                }
                if(i!=n/i){
                for (int t = 0; t < ((n / i) + "").length(); t++) {
                    if (s.indexOf(((n / i) + "").charAt(t)+"") > -1) {
                        k++;
                        break;
                    }
                }
                }
            }
        }
        System.out.println(k);
    }
}
