import sys

sys.setrecursionlimit(200005)
int1 = lambda x: int(x)-1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(sys.stdin.buffer.readline())
def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
def LI1(): return list(map(int1, sys.stdin.buffer.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def BI(): return sys.stdin.buffer.readline().rstrip()
def SI(): return sys.stdin.buffer.readline().rstrip().decode()
dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = 10**16
# md = 998244353
md = 10**9+7

a, b, n = LI()
dp = [0]*(b+1)
for g in range(b, 0, -1):
    dp[g] = pow(b//g-(a-1)//g, n, md-1)
    for h in range(g+g, b+1, g):
        dp[g] -= dp[h]
    dp[g] %= md-1

ans = 1
for g, c in enumerate(dp[1:], 1):
    ans *= pow(g, c, md)
    ans %= md

print(ans)