a,b,n=map(int,input().split())
mod=10**9+7
ans=1
cnt=[0]*(b+1)
for i in range(b,0,-1):
  tmp=pow(b//i-(a-1)//i,n,mod-1)
  for j in range(2*i,b+1,i):
    tmp-=cnt[j]
    tmp%=mod-1
  cnt[i]=tmp
  ans*=pow(i,tmp,mod)
  ans%=mod
print(ans)