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 math

def checkChars(div, x):
  strDiv = str(div)
  hasChar = False
  for i in range(len(strDiv)):
    hasChar = strDiv[i] in x or hasChar
  return hasChar

strX = input()
x = int(strX)
answer = 0

3 - 4

index = 1;
while index <= math.sqrt(x):
  if x % index == 0:
    if checkChars(index, strX):
      answer += 1
    if index != math.sqrt(x):
      if checkChars(x//index, strX):
        answer += 1
  index += 1
print(answer)
   	 		 				  		 								  	 	