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Omni-MATH / A number p is perfect if the sum of its divisors, except p is p. Let f be a function such that: f(n)=0, if n is perfect f(n)=0, if the last digit of n is 4 f(a.b)=f(a)+f(b) Find …

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problem

A number pp is perfectperfect if the sum of its divisors, except pp is pp. Let ff be a function such that: f(n)=0f(n)=0, if n is perfect f(n)=0f(n)=0, if the last digit of n is 4 f(a.b)=f(a)+f(b)f(a.b)=f(a)+f(b) Find f(1998)f(1998)
Plain-text mathematical notation (without MathML)
A number p is perfect if the sum of its divisors, except p is p. Let f be a function such that:

f(n)=0, if n is perfect
f(n)=0, if the last digit of n is 4
f(a.b)=f(a)+f(b)

Find f(1998)
Original LaTeX notation
A number $p$ is $perfect$ if the sum of its divisors, except $p$ is $p$. Let $f$ be a function such that:

$f(n)=0$, if n is perfect
$f(n)=0$, if the last digit of n is 4
$f(a.b)=f(a)+f(b)$

Find $f(1998)$

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Source and history

task_id
7901dca2-e594-5dd3-b4bb-79a354fa86c5
task_key
test--7901dca2-e594-5dd3-b4bb-79a354fa86c5
task_revision_id
1
config / split
/ test

Official source

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