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.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;

public class Main {

    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner(System.in);
        PrintWriter out = new PrintWriter(System.out);

        int n = sc.nextInt();
        if (n == 1) {
            System.out.println(1);
            return;
        }
        int cnt = 1;
        TreeSet<Integer> set = new TreeSet<>();
        int tmp = n;
        while (tmp > 0) {
            set.add(tmp % 10);
            tmp /= 10;
        }

        for (int i = 1; i * i <= n; i++) {
            if (n % i == 0) {
                tmp = i;
                boolean ok = false;
                while (tmp > 0) {
                    ok |= set.contains(tmp % 10);
                    tmp /= 10;
                }
                if (ok) cnt++;

                if (i != 1 && i != n / i) {
                    tmp = n / i;
                    ok = false;
                    while (tmp > 0) {
                        ok |= set.contains(tmp % 10);
                        tmp /= 10;
                    }
                    if (ok) cnt++;

                }
            }
        }

        out.println(cnt);
        out.flush();
        out.close();
    }

























    static class Scanner {
        StringTokenizer st;
        BufferedReader br;

        public Scanner(InputStream s) {
            br = new BufferedReader(new InputStreamReader(s));
        }

        public String next() throws IOException {
            while (st == null || !st.hasMoreTokens())
                st = new StringTokenizer(br.readLine());
            return st.nextToken();
        }

        public int nextInt() throws IOException {
            return Integer.parseInt(next());
        }

        public long nextLong() throws IOException {
            return Long.parseLong(next());
        }

        public String nextLine() throws IOException {
            return br.readLine();
        }

        public double nextDouble() throws IOException {
            String x = next();
            StringBuilder sb = new StringBuilder("0");
            double res = 0, f = 1;
            boolean dec = false, neg = false;
            int start = 0;
            if (x.charAt(0) == '-') {
                neg = true;
                start++;
            }
            for (int i = start; i < x.length(); i++)
                if (x.charAt(i) == '.') {
                    res = Long.parseLong(sb.toString());
                    sb = new StringBuilder("0");
                    dec = true;
                } else {
                    sb.append(x.charAt(i));
                    if (dec)
                        f *= 10;
                }
            res += Long.parseLong(sb.toString()) / f;
            return res * (neg ? -1 : 1);
        }

        public boolean ready() throws IOException {
            return br.ready();
        }

    }
}