require'prime'
def x(a,d=0,n=1,t=1)d==a.size ?yield(n,t):(0..a[d][1]).map{|i|x(a,d+1,n*a[d][0]**i,i==0?t:t*(a[d][0]-1)*a[d][0]**(i-1),&proc)}end
q=->x,y{z=1;(y%2>0&&z=z*x%M;x=x*x%M;y/=2)while y>0;z}
C={}
r=M=10**9+7
H,W,K=gets.split.map &:to_i
x(H.prime_division){|a,at|x(W.prime_division){|b,bt|k=W*H/a.lcm(b);C[k]=q[K,k]if !C.has_key?k;r=(r+at*bt*C[k])%M}}
p r*q[W*H,M-2]%M