fn read() -> u64 {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).unwrap();
    s.trim().parse::<u64>().unwrap()
}

// a | b かつ b | c なものの数はN^(3/4) くらいで計算できる

// n を与えると [l, r], q を返す
// 順序はようわからん
fn quot_range<F>(n: u64, mut f: F)
where
    F: FnMut(u64, u64, u64)
{
    let mut p = Vec::with_capacity((n as f64).sqrt() as usize + 1);
    for d in 1.. {
        let q = n / d;
        p.push((d, q));
        if q < d {
            break;
        }
        f(d, d, q);
        if q == d {
            break;
        }
    }
    for p in p.windows(2) {
        let q = p[0].0;
        let r = p[0].1;
        let l = p[1].1 + 1;
        f(l, r, q);
    }
}

fn run() {
    let n = read();
    const MOD: u64 = 1_000_000_007;
    let mut ans = 0;
    quot_range(n, |l, r, q| {
        ans += (r - l + 1) * (q - 1) % MOD * (n - 2) % MOD;
        ans += MOD - (r - l + 1) * (q - 1) % MOD * (q - 2) % MOD;
    });
    quot_range(n, |l, r, q| {
        if q <= 2 {
            return;
        }
        let w = r - l + 1;
        quot_range(q, |l, r, q| {
            if l > 1 {
                ans += MOD - w * (r - l + 1) % MOD * (q - 1) % MOD;
            }
        });
    });
    ans %= MOD;
    println!("{}", ans);
}

fn main() {
    run();
}