#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<long long> VL;
typedef vector<vector<long long>> VVL;
typedef pair<int,int> Pair;
typedef tuple<int,int,int> tpl;

#define ALL(a)  (a).begin(),(a).end()
#define SORT(c) sort((c).begin(),(c).end())
#define REVERSE(c) reverse((c).begin(),(c).end())
#define EXIST(m,v) (m).find((v)) != (m).end()
#define LB(a,x) lower_bound((a).begin(), (a).end(), x) - (a).begin()
#define UB(a,x) upper_bound((a).begin(), (a).end(), x) - (a).begin()

#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)
#define RFOR(i,a,b) for(int i=(a)-1;i>=(b);--i)
#define RREP(i,n) RFOR(i,n,0)

#define en "\n"

constexpr double EPS = 1e-9;
constexpr double PI  = 3.1415926535897932;
constexpr int INF = 2147483647;
constexpr long long LINF = 1LL<<60;
constexpr long long MOD = 1000000007; // 998244353;

template<class T> inline bool chmax(T& a, T b){if(a<b){a=b;return true;}return false;}
template<class T> inline bool chmin(T& a, T b){if(a>b){a=b;return true;}return false;}

template<long long mod=1000000007>
struct modint {
    long long x;
    modint(long long x=0):x((x%mod+mod)%mod){}
    long long val(){
        return x;
    }
    modint<mod> operator-() const { return modint(-x);}
    modint<mod>& operator+=(const modint a) {
        if ((x += a.x) >= mod) x -= mod;
        return *this;
    }
    modint<mod>& operator-=(const modint a) {
        if ((x += mod-a.x) >= mod) x -= mod;
    	return *this;
    }
    modint<mod>& operator*=(const modint a) {
    	(x *= a.x) %= mod;
        return *this;
    }
    modint<mod> operator+(const modint a) const {
        modint<mod> res(*this);
        return res+=a;
    }
    modint<mod> operator-(const modint a) const {
        modint<mod> res(*this);
        return res-=a;
    }
    modint<mod> operator*(const modint a) const {
        modint<mod> res(*this);
        return res*=a;
    }
    modint<mod> pow(long long t) const {
        if (!t) return 1;
        modint<mod> a = pow(t>>1);
        a *= a;
    	if (t&1) a *= *this;
        return a;
    }

	// must be gcd(x,mod)==1
    modint<mod> inv() const {
		// a^{-1} = 1/a mod p (拡張Euclidの互除法)
		long long b = mod, u = 1, v = 0, z = x;
		while(b){
			long long t = z / b;
			z -= t * b; swap(z, b);
			u -= t * v; swap(u, v);
		}
		u %= mod;
		if (u < 0) u += mod;
		return modint<mod>(u);
	}

    //modint inv() const {
    //    return pow(mod-2);
    //}

    modint<mod>& operator/=(const modint a) {
    	return (*this) *= a.inv();
    }
    modint<mod> operator/(const modint a) const {
        modint<mod> res(*this);
        return res/=a;
    }
};
using mint = modint<1000000007>;

struct SieveEratosthenes{
    vector<int> min_fact;

    SieveEratosthenes(int N){
        _build(N);
    }

    void _build(int N){
        min_fact.resize(N+1);
        for(int i=0; i<=N; i++) min_fact[i] = i;
        
        min_fact[0] = min_fact[1] = -1;

        for(int i=2; i*i<=N; i++){
            for(int j=i*i; j<=N; j+=i){
                if(i < min_fact[j])
                    min_fact[j] = i;
            }
        }
    }

    bool is_prime(int x){
        return min_fact[x] == x;
    }

    vector<pair<int,int>> factorize(int x){
        vector<pair<int,int>> ret;
        while(x>1){
            if(ret.empty() || ret.back().first != min_fact[x])
                ret.emplace_back(min_fact[x], 1);
            else
                ret.back().second++;

            x /= min_fact[x];
        }

        return ret;
    }
};

void Main(){
    int M; cin >> M;
    vector<mint> dp(M+1);
    SieveEratosthenes sieve(M);
    dp[1] = 1;
    FOR(x,2,M+1){
        auto fact = sieve.factorize(x);
        int sz = fact.size();
        REP(i,1<<sz){
            int cnt = 0;
            int prod = 1;
            REP(j,sz) if((i>>j)&1) prod *= fact[j].first, cnt++;
            if(cnt&1) dp[x] += dp[x/prod];
            else dp[x] -= dp[x/prod];
        }
        dp[x] += dp[x-1];
    }
    cout << dp[M].x << en;
    return;
}

int main(void){
    cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);cout<<fixed<<setprecision(15);
    int t=1; //cin>>t;
    while(t--) Main();
    return 0;
}