// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------

fn sqrt_calc<F>(n: u64, mut f: F)
where
    F: FnMut(u64, u64),
{
    let mut r = n;
    let mut q = 1;
    loop {
        let l = n / (q + 1);
        if l * l <= n {
            break;
        }
        f(r, r - l);
        r = l;
        q += 1;
    }
    for i in 1..=r {
        f(i, 1);
    }
}

fn run() {
    input! {
        n: u64,
    }
    const MOD: u64 = 1_000_000_007;
    let mut ans = 0;
    sqrt_calc(n, |b, m| {
        let rem = n / b - 1;
        ans += m * rem * (n - 2) % MOD;
        ans += MOD - m * rem % MOD * (rem - 1) % MOD;
    });
    sqrt_calc(n, |i, k| {
        let q = n / i;
        if q - 1 < 2 {
            return;
        }
        sqrt_calc(q, |b, m| {
            if b > 1 {
                let rem = q / b - 1;
                ans += MOD - k * m % MOD * rem % MOD;
            }
        });
    });
    ans %= MOD;
    println!("{}", ans);
}

fn main() {
    run();
}