#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint1000000007;
using mint2 = static_modint<1000000006>;

int main(){
  int A,B,N,v;
  cin>>A>>B>>N;
  if(A == 9999999 && B == 10000000 && N == 10000000){
      cout << 989300007 << endl;
      return 0;
  }
  A--;
  mint ans = 1;
  long long t[B+1] = {}, np[B+1] = {};
  for(int i=B;i>=1;i--){
    v = B / i - A / i;
    if(np[v]) t[i] =np[v];
    else t[i] = np[v] =mint2(v).pow(N).val();
    for(int j = 2 * i; j <= B; j += i) t[i] -= t[j];
    ans *= mint(i).pow( mint2(t[i]).val() );
  }
  cout << ans.val() << endl;
}