About the Number 2520 (two thousand five hundred twenty)

A student tagged me when they posted the following to their Facebook.

   "2,520 is the smallest number that can be exactly divided 
    by all the numbers 1 to 10."
MathBabbler Number Analyst (MBNA) output:
=========================================
2520 is a natural, whole, integer
2520 is even
2520 proper divisors are: 1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,
                          30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,
                          126,140,168,180,210,252,280,315,360,420,504,630,
                          840,1260,
2520 is abundant (sum of divisors is 6840)
2520 is unhappy
2520 is not a Squarefree Number: 4,9,36,
2520 is a Harshad number
2520 is not prime
2520 has the prime factors: 2*2*2*3*3*5*7 (sum=24)
2...2...2...3...3...5...7...answer: 24
2520 in octal is 04730
2520 in hexadecimal is 0x9d8
2520 in binary is 100111011000 (is evil)
2520 nearest square numbers: -20...81 (2500...2601 [51])
sqrt(2520) = 50.1996
ln(2520) = 7.83201
log(2520) = 3.4014
2520 reciprocal is .00039682539682539682539682539682
2520! is inf
2520 is 802.141 Pi years
2520 is 126 scoreyears
2520 written as a Roman numeral is MMDXX
2520 = 631^2 - 629^2 and 2 * (631 + 629) = 2520

Let's take a closer look at the proper divisors of 2520.

4 and its factorial (4!) are factors of 2520.

42 (the "Answer to Life, the Universe, and Everything") is a factor of 2520.

I'm 56 while typing this (on 14 November 2013) and 56 is a factor of 2520.

60 is a fun number and it's a factor of 2520.

Popular angle measures (30°, 45°, 60°, 90° 180° 360°) are all factors of 2520.

The maximum length of a Tweet (140 characters) is a factor of 2520.

420 is a factor of 2520.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 14 November 2013 (posted 17 November 2013)

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This work is licensed under a Creative Commons Attribution 3.0 United States License.