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 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 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

```   5040 and other Anti-Prime Numbers - Numberphile