A, B, N = map(int, input().split())

mod = 10 ** 9 + 7
mod2 = 10 ** 9 + 6

A -= 1
B2 = B // 2
B21 = B2 + 1
L0 = max(A, B2)
L1 = L0 + 1
cnt = [0] * L1

ret = 1
for i in range(B, L0, -1):
    ret = ret * i % mod

lastBi = lastval = 0
tmpprod = 1
for i in range(L0, A, -1):
    Bi = B // i
    if Bi != lastBi:
        ret = ret * pow(tmpprod, lastval, mod) % mod
        tmpprod, lastBi = i, Bi
        lastval = pow(Bi, N, mod2)
        for n in range(i + i, B21, i):
            lastval -= cnt[n]
        lastval = (lastval - Bi + Bi // 2) % mod2
    else:
        tmpprod = tmpprod * i % mod
    cnt[i] = lastval
ret = ret * pow(tmpprod, lastval, mod) % mod

lastAi = lastBi = lastval = 0
tmpprod = 1
for i in range(A, 1, -1):
    Bi = B // i
    Ai = A // i
    if Ai == Bi:
        continue
    if Bi != lastBi or Ai != lastAi:
        ret = ret * pow(tmpprod, lastval, mod) % mod
        tmpprod, lastAi, lastBi = i, Ai, Bi
        lastval = pow(Bi - Ai, N, mod2)
        for n in range(i + i, L1, i):
            lastval -= cnt[n]
        lastval = (lastval - Bi + L0 // i) % mod2
    else:
        tmpprod = tmpprod * i % mod
    cnt[i] = lastval
ret = ret * pow(tmpprod, lastval, mod) % mod
print(ret)