[seqfan] Numbers with sigma(n)/n a rational power

[michel.marcus at free.fr]

Hello seqfans, 

In OEIS, A069070 lists some numbers for which  sigma(n)/n  is a square. 
And A230043  lists some numbers for which sigma(n)/n is a cube. 

Finally, A230538  lists some numbers for which sigma(n)/n is a fourth power. 
And it also gives instances for powers from 5 to 8. 

Is it possible to find instances with higher power like 9 or 10? 

Best . 
Michel