#include <bits/stdc++.h>
using namespace std;
template <class F> class y_combinator {
    F f;

   public:
    y_combinator(F&& f) : f(std::forward<F>(f)) {}
    template <class... Args> auto operator()(Args&&... args) const { return f(*this, std::forward<Args>(args)...); }
};
using ll = long long;
using ld = long double;
template <class T, class U = std::less<T>> using prique = std::priority_queue<T, std::vector<T>, U>;
template <class T> T floor(T a, T b) noexcept { return a / b - (a % b && (a ^ b) < 0); }
template <class T> T ceil(T a, T b) noexcept { return floor(a + b - 1, b); }
template <class T> bool chmin(T& x, const T& y) noexcept { return (x > y ? x = y, true : false); }
template <class T> bool chmax(T& x, const T& y) noexcept { return (x < y ? x = y, true : false); }
#define overload4(a, b, c, d, e, ...) e
#define rep1(a) for (long long _i = 0; _i < (a); _i++)
#define rep2(i, a) for (long long i = 0; i < (a); i++)
#define rep3(i, a, b) for (long long i = (a); i < (b); i++)
#define rep4(i, a, b, c) for (long long i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep(i, a, b, c) for (long long i = (a); i > (b); i += (c))
#define all(x) std::begin(x), std::end(x)
#define rall(x) std::rbegin(x), std::rend(x)
#define pb push_back
#ifndef LOCAL
#define debug(...)
#endif

#include <atcoder/modint>
using mint = atcoder::modint1000000007;

void run_case() {
    int A, B, N;
    cin >> A >> B >> N;
    auto f = [&](int K) -> int {
        return (B / K - (A - 1) / K);
    };
    using Mint = atcoder::static_modint<mint::mod() - 1>;
    vector<Mint> P(B + 1);
    rep(x, 1, B + 1) P[x] = Mint(f(x)).pow(N);
    rrep(x, B, 0, -1) {
        rep(y, x + x, B + 1, x) {
            P[x] -= P[y];
        }
    }
    mint ans = 1;
    rep(x, 1, B + 1) {
        ll t = P[x].val();
        if (t == 0) t += Mint::mod();
        ans *= mint(x).pow(t);
    }
    cout << ans.val() << "\n";
}

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    std::fixed(std::cout).precision(16);
    int T = 1;
    // cin >> T;
    while (T--) run_case();
    return 0;
}