A, B, N = map(int, input().split())
MOD = 10**9+7
cnt = [0]*(B+1)

for i in range(B, 0, -1):
    cnt[i] = pow(B//i-(A-1)//i, N, MOD)
    
    for j in range(2*i, B+1, i):
        cnt[i] -= cnt[j]
        cnt[i] %= MOD

ans = 1

for i in range(B+1):
    ans *= pow(i, cnt[i], MOD)
    ans %= MOD

print(ans)