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
mod=10**9+7
N=int(input())
M=1
y=[1 for k in range(N)]
for k in range(2,N+1):
    for j in range(2,k+1):
        if k%j ==0:
            count=0
            while k%j==0:
                k=k//j
                count+=1
            y[j-1]+=count
ans=1
for k in range(len(y)):
    ans=ans*y[k]%mod
print(ans)