#include <bits/stdc++.h>
using namespace std;
#include <boost/multiprecision/cpp_int.hpp>
typedef boost::multiprecision::cpp_int mp;


int main(){
    mp N;
    mp ans=0;
    mp MOD=1000000007;
    cin>>N;
    mp i=2;
    while(i*i<=N){
        mp temp=N;
        while(temp>0){
            ans=(ans+temp%i)%MOD;
            temp/=i;
        }
        ++i;
    }
    for(int j=1;j<=N;j++){
        mp M=N/j;
        mp m=N/(j+1)+1;
        if(M<i)break;
        if(m<i)m=i;
        ans=(ans+N*(M-m+1)-j*(M+m-2)*(M-m+1)/2)%MOD;
    }
    cout<<ans<<endl;
}