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())
count = [1]*(N+1)
ans = 1
mod = 10**9+7

for i in range(2,N+1):
    wari = i
    for w in range(2,i+1):
        while wari % w == 0:
            count[w] += 1
            wari /= w

for i in range(N+1):
    ans *= count[i]

print(ans % mod)