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.*;
public class r221b {
	public static void main(String args[]) {
		Scanner in = new Scanner(System.in);
		int N = in.nextInt();
		String sN = N+"";
		int count = 0;
		for(int i = 1; i <= Math.sqrt(N); i++) {
			if(N%i != 0)
				continue;
			int j = N/i;
			
			String si = i + "";
			for(int k = 0; k < si.length(); k++) {
				if(sN.contains(si.charAt(k)+"")) {
					count++;
					break;
				}
			}
			
			if(i == j)
				continue;
			String sj = j + "";
			for(int k = 0; k < sj.length(); k++) {
				if(sN.contains(sj.charAt(k)+"")) {
					count++;
					break;
				}
			}
		}
		System.out.println(count);
	}
}
