If $\phi (n)$ represents Euler quotient function, then what is the value of $\phi (80850)$ ?
Answer & explanation
Correct answer: option 4
The correct answer is option (4) : 16800
$\phi (80850) = \phi (2×3×5^2×7^2×11)$
$=\phi (2) .\phi (3).\phi(5^2).\phi(7^2),\phi(11)$
$=(2-1)(3-1)(5^2-5^1).(7^2-7^1)(11-1)$
$=1×2×20×42×10$
$=16800$