5306400
5,306,400 is an even composite number composed of five prime numbers multiplied together.
5306400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 5306400:
25 × 32 × 52 × 11 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 67)See below for interesting mathematical facts about the number 5306400 from the Numbermatics database.
Names of 5306400
- Cardinal: 5306400 can be written as Five million, three hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 5.3064 × 106
Factors of 5306400
Divisors of 5306400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 66 67 72 75 80 88 90 96 99 100 110 120 132 134 144 150 160 165 176 180 198 200 201 220 225 240 264 268 275 288 300 330 335 352 360 396 400 402 440 450 480 495 528 536 550 600 603 660 670 720 737 792 800 804 825 880 900 990 1005 1056 1072 1100 1200 1206 1320 1340 1440 1474 1584 1608 1650 1675 1760 1800 1980 2010 2144 2200 2211 2400 2412 2475 2640 2680 2948 3015 3168 3216 3300 3350 3600 3685 3960 4020 4400 4422 4824 4950 5025 5280 5360 5896 6030 6432 6600 6633 6700 7200 7370 7920 8040 8800 8844 9648 9900 10050 10720 11055 11792 12060 13200 13266 13400 14740 15075 15840 16080 17688 18425 19296 19800 20100 22110 23584 24120 26400 26532 26800 29480 30150 32160 33165 35376 36850 39600 40200 44220 48240 53064 53600 55275 58960 60300 66330 70752 73700 79200 80400 88440 96480 106128 110550 117920 120600 132660 147400 160800 165825 176880 212256 221100 241200 265320 294800 331650 353760 442200 482400 530640 589600 663300 884400 1061280 1326600 1768800 2653200 5306400
- Sum of all divisors σ(n): 20717424
- Sum of proper divisors (its aliquot sum) s(n): 15411024
- 5306400 is an abundant number, because the sum of its proper divisors (15411024) is greater than itself. Its abundance is 10104624
Bases of 5306400
- Binary: 101000011111000001000002
- Hexadecimal: 0x50F820
- Base-36: 35QG0
Squares and roots of 5306400
- 5306400 squared (53064002) is 28157880960000
- 5306400 cubed (53064003) is 149416979526144000000
-
The
square root of 5306400 is 2303.5624584543 -
The
cube root of 5306400 is 174.4214910531
Scales and comparisons
How big is 5306400?- 5,306,400 seconds is equal to 8 weeks, 5 days, 10 hours.
-
To count from 1 to 5,306,400 would take you about thirteen weeks!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 5306400 cubic inches would be around 14.5 feet tall.
Recreational maths with 5306400
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 5306400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 5306400 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/5306400/
Chicago style:
Numbermatics. 2024. "Number 5306400 - Facts about the integer". https://numbermatics.com/n/5306400/
The information we have on file for 5306400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 5306400, math, Factors of 5306400, curriculum, school, college, exams, university, Prime factorization of 5306400, STEM, science, technology, engineering, physics, economics, calculator, five million, three hundred six thousand, four hundred.