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

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25204 and its factorial (4!) are factors of

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252042 (the "Answer to Life, the Universe, and Everything") is a factor of

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

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252060 is a fun number and it's a factor of

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

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

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2520420 is a factor of

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2520

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 14 November 2013 (posted 17 November 2013)

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