About the Number 5040 (five thousand forty)

This nBAB was created when MathBabbler realized that 7! is 5040 and that 5040 is the sum of 42 consecutive primes.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   5040 is a natural, whole, integer
   5040 is even
   5040 proper divisors are: 1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,
                             21,24,28,30,35,36,40,42,45,48,56,60,63,
                             70,72,80,84,90,105,112,120,126,140,144,
                             168,180,210,240,252,280,315,336,360,420,
                             504,560,630,720,840,1008,1260,1680,2520
   5040 is refactorable (evenly divisable by # of divisors)
   5040 is abundant (sum of divisors is 14304)
   5040 is unhappy
   5040 is a Harshad number
   5040 is not prime
   5040 has the prime factors: 2*2*2*2*3*3*5*7 (sum=26)
   5040 sum of prime factors is: 26
   5040 is the sum of 42 consecutive primes
        23+29+31+37+41+43+47+53+59+61+67+71+73+79+83+89+97+
          101+103+107+109+113+127+131+137+139+149+151+157+
          163+167+173+179+181+191+193+197+199+211+223+227+229
   5040 in octal is 011660
   5040 in hexadecimal is 0x13b0
   5040 in binary is 1001110110000 (is evil)
   5040 nearest square numbers: -140...1 (4900...5041 [71])
   sqrt(5040) = 70.993
   ln(5040) = 8.52516
   log(5040) = 3.70243
   5040! is inf
   5040 is 1604.28 Pi years
   5040 is 252 scoreyears
                            ______
   5040 reciprocal is 0.0001984126

5040 is one less than the square number 5041 (71^2).

log15(5040) (3.14808) truncated to two-decimal digits equals Pi (3.14159265) rounded to the nearest hundredth.

Update::2009.12.02

[Wikipedia.org] 5040 = 10! / 6!


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 29 November 2009

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 United States License.
Update::2016.07.12

5040 is a highly composite number.

   5040 and other Anti-Prime Numbers - Numberphile 
   https://youtu.be/2JM2oImb9Qg via @YouTube published 2016.07.06