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())
s = 1
ans = 1
for i in range(1, n+1):
  s *= i
for i in range(2, n+1):
  k = 1
  while s % i == 0:
    s = s // i
    k += 1
  ans *= k
print(ans % (10 ** 9 + 7))