Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

3

Sample Output 1

4

There are four divisors of 3! =6: 1, 2, 3 and 6. Thus, the output should be 4.

Sample Input 2

6

Sample Output 2

30

Sample Input 3

1000

Sample Output 3

972926972

Solution in PyPy3 (2.4.0) (judge verdict: Wrong Answer)

import math
N=math.factorial(int(input()))
i=2
ans=1
M=10**9+7
while i*i<=N:
    cnt=1
    while N%i==0:
        cnt+=1
        N//=i
    ans*=cnt
    i+=1

print(int(ans%M))