Number Gossip
(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)
Unique Properties of 2520
- 2520 is the smallest number divisible by 1 through 10
- 2520 is the smallest number n such that nτ(n) > prime(4n)
- 2520 is the smallest number n such that nτ(n) > 5prime(n)
- 2520 is the largest highly composite number, which are the numbers with more divisors than any number less than double itself
Common Properties of 2520
The number n is abundant if the sum of all its positive divisors except itself is more than n.
They are abundant above perfection, not to mention deficiency. See perfect and deficient numbers.
A positive integer greater than 1 that is not prime is called composite.
Composite numbers are opposite to prime numbers.
A number is even if it is divisible by 2.
Numbers that are not even are odd. Compare with another pair -- evil and odious numbers.
The number n is evil if it has an even number of 1's in its binary expansion.
Guess what odious numbers are.
The number n is practical if all numbers strictly less than n are sums of distinct divisors of n.