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A function f:N→Nf: \mathbb{N} \rightarrow \mathbb{N}f:N→N is such that
1) f(xy)=f(x)f(y)f(xy)= f(x)f(y)f(xy)=f(x)f(y)
2) The function is strictly increasing.
3) f(2)=2f(2)=2f(2)=2
Find ∑k=120f(k)\sum _{ k=1 }^{ 20 }{ f(k) } ∑k=120f(k)
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