MathBabbler created BAB#

1440on 7 March 2008. For some reason, he felt he had used the number1440from time-to-time. It turns out he was familiar with1440because that is the number of minutes in one day.1440 is an even, natural, counting, whole, integer 1440 is composite having prime factors: 2^5 * 3^2 * 5 1440 has lots of factors, which include... 1,2,3,4,5,6,8,9,10 1440 in binary is 10110100000 (even # of 1's makes it evil) 1440 in base-8 is 2640 1440 in base-16 is 0x5a0 1440 in Roman numeral is MCDXL sqrt(1440) = 37.9473319 ln(1440) = 7.27239839 log(1440) = 3.15836249 (0.53% greater than Pi)There are

1440minutes per day.60 minutes 24~~hours~~60 * 24 minutes 1440 minutes ---------- * -------- = --------------- = ------------ 1~~hour~~1 day 1 day 1 day

1440(base-10) is a Harshad number (i.e. the sum of its digits (9) is a factor of 1440).Up to this BAB, MathBabbler had ignored categorizing numbers as being

deficient,perfect, orabundant. The following definition was copied from NumberGossip.com."The number 'n' is perfect if the sum of all its positive divisors except itself is equal to 'n'. Less than perfect numbers are called deficient, too perfect -- abundant."

1440is anabundantnumber.the sum of the divisors of 1440... 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 32 + 36 + 40 + 45 + 48 + 60 + 72 + 80 + 90 + 96 + 120 + 144 + 160 + 180 + 240 + 288 + 360 + 480 + 720 > 1440 Note: Suming the largest divisors first we can quickly see 1440 is abundant: 720 + 480 + 360 = 1560

1440has`1^2, 2^2, 3^2, 4^2, 6^2, 12^2`

as divisors.## Update::2009.04.02

MathBabbler was doing something with the square-number 1444 and he noticed that this nBAB for the number

`was created prior to the creation of the MBNA.`

1440MathBabbler Number Analyst (MBNA) output: ========================================= 1440 is a natural, whole, integer 1440 is even 1440 proper divisors are: 1,2,3,4,5,6,8,9,10,12,15,16,18,20,24, 30,32,36,40,45,48,60,72,80,90,96,120, 144,160,180,240,288,360,480,720, 1440 is refactorable (evenly divisable by # of divisors) 1440 is abundant (sum of divisors is 3474) 1440 is unhappy 1440 is a Harshad number 1440 is not prime 1440 has the prime factors: 2*2*2*2*2*3*3*5 1440 sum prime factors: 2...2...2...2...2...3...3...5...answer: 21 1440 in octal is 02640 1440 in hexadecimal is 0x5a0 1440 in binary is 10110100000 (is evil) 1440 nearest square numbers: -71...4 (1369...1444 [38]) sqrt(1440) = 37.9473 ln(1440) = 7.2724 log(1440) = 3.15836 1440 reciprocal is .00069444444444444444444444444444 1440! is 4.32744e+3924 1440 is 458.366 Pi years 1440 is 72 scoreyears 1440 written as a Roman numeral is MCDXL

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

**Created:** 07 March 2008

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