This nBAB was created when MathBabbler realized that 7! is
5040
and that5040
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
5040 is a highly composite number.
5040 and other Anti-Prime Numbers - Numberphile https://youtu.be/2JM2oImb9Qg via @YouTube published 2016.07.06