Divisors

Little Tetyanka loves the concept of division. She is puzzled as to why people often discuss divisibility of integers and rarely mention real numbers. In fact, a real number $a$ is said to be divisible by a real number $b$ if the quotient $a/b$ is an integer. For example, the number $3.0$ is divisible by $0.5$, $1.5$, and even $3.0$ itself.

Help Tetyanka determine how many real numbers $x$ (1 \leq x \leq n) divide $n$ evenly.