#include <iostream>
#include <cmath>
#define MOD 1000000007
using namespace std;

int main() {
    long long N; cin >> N;
    long long count = 0;
    for (long long B = 2; B * B <= N; B++){
        long long A = N;
        while (A > 0){
            count += A % B; count %= MOD;
            A = (A - (A % B)) / B;
        }
    }
    for (long long B_ = 1; B_ * B_ < N; B_++){
        long long Left, Right;
        Right = N / B_;
        Left = N / (B_ + 1) + 1;
        if (Left <= B_) Left = B_ + 1;
        if (Left > Right) continue;
        long long count_;
        if ((Right - Left) % 2 == 0){
            count_ = (((N % Left) + (N % Right)) / 2) % MOD;
            count_ %= MOD;
            count_ *= (Right - Left + 1) % MOD;
            count_ %= MOD;
        }
        else {
            count_ = ((Right - Left + 1) / 2) % MOD;
            count_ %= MOD;
            count_ *= ((N % Left) + (N % Right)) % MOD;
            count_ %= MOD;
        }
        count += count_; count %= MOD;
        count_ = Right - Left + 1; count_ %= MOD;
        count_ *= B_; count_ %= MOD;
        count += count_; count %= MOD;
    }
    cout << count << endl;
}