You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.

Constraints

* 1≤N≤10^3

Input

The input is given from Standard Input in the following format:


N


Output

Print the number of the positive divisors of N!, modulo 10^9+7.

Examples

Input

3


Output

4


Input

6


Output

30


Input

1000


Output

972926972
n = int(input())
x,answer = [2],1
if n != 1:
	for i in range(2,n+1):
		if all(i%j != 0 for j in x):
			x.append(i)
	for i in x:
		num,num2 = 1,0
		while i**num<=n:
			a = i**num
			num2 += (n-n%a)//a
			num += 1
		answer = answer*(num2+1)%(10**9+7)
print(answer)