About the Number 8400 (eight thousand four hundred)

GDT uses FreeFind.com as the search engine on his Learning About Computing website. GDT received the following email message from FreeFind.com on 4 December 2011.

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   MathBabbler Number Analyst (MBNA) output:
   =========================================
   8400 is a natural, whole, integer
   8400 is even
   8400 proper divisors are: 1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,
                             28,30,35,40,42,48,50,56,60,70,75,80,84,100,
                             105,112,120,140,150,168,175,200,210,240,280,
                             300,336,350,400,420,525,560,600,700,840,1050,
                             1200,1400,1680,2100,2800,4200,
   8400 is refactorable (evenly divisable by # of divisors)
   8400 is abundant (sum of divisors is 22352)
   8400 is unhappy
   8400 is not a Squarefree Number: 4,16,25,100,400,
   8400 is a Harshad number
   8400 is not prime
   8400 has the prime factors: 2*2*2*2*3*5*5*7 (sum=28)
   8400 sum of prime factors is: 28
   8400 is pentagonal
   8400 in octal is 020320
   8400 in hexadecimal is 0x20d0
   8400 in binary is 10000011010000 (is evil)
   8400 nearest square numbers: -119...64 (8281...8464 [92])
   sqrt(8400) = 91.6515
   ln(8400) = 9.03599
   log(8400) = 3.92428
   8400 reciprocal is .00011904761904761904761904761904
   8400 is an apocalyptic power
   8400! is inf
   8400 is 2673.8 Pi years
   8400 is 420 scoreyears
   8400 = 2101^2 - 2099^2 and 2 * (2101 + 2099) = 8400

Note: This nBAB for the number 8400 was the 468th nBAB and it was the first nBAB created using a version of the MBNA that checked for Squarefree Numbers.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 06 December 2011

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