13188000
13,188,000 is an even composite number composed of five prime numbers multiplied together.
13188000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 13188000:
25 × 3 × 53 × 7 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 157)See below for interesting mathematical facts about the number 13188000 from the Numbermatics database.
Names of 13188000
- Cardinal: 13188000 can be written as Thirteen million, one hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.3188 × 107
Factors of 13188000
Divisors of 13188000
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 125 140 150 157 160 168 175 200 210 224 240 250 280 300 314 336 350 375 400 420 471 480 500 525 560 600 628 672 700 750 785 800 840 875 942 1000 1050 1099 1120 1200 1256 1400 1500 1570 1680 1750 1884 2000 2100 2198 2355 2400 2512 2625 2800 3000 3140 3297 3360 3500 3768 3925 4000 4200 4396 4710 5024 5250 5495 5600 6000 6280 6594 7000 7536 7850 8400 8792 9420 10500 10990 11775 12000 12560 13188 14000 15072 15700 16485 16800 17584 18840 19625 21000 21980 23550 25120 26376 27475 28000 31400 32970 35168 37680 39250 42000 43960 47100 52752 54950 58875 62800 65940 75360 78500 82425 84000 87920 94200 105504 109900 117750 125600 131880 137375 157000 164850 175840 188400 219800 235500 263760 274750 314000 329700 376800 412125 439600 471000 527520 549500 628000 659400 824250 879200 942000 1099000 1318800 1648500 1884000 2198000 2637600 3297000 4396000 6594000 13188000
- Sum of all divisors σ(n): 49690368
- Sum of proper divisors (its aliquot sum) s(n): 36502368
- 13188000 is an abundant number, because the sum of its proper divisors (36502368) is greater than itself. Its abundance is 23314368
Bases of 13188000
- Binary: 1100100100111011101000002
- Hexadecimal: 0xC93BA0
- Base-36: 7UNXC
Squares and roots of 13188000
- 13188000 squared (131880002) is 173923344000000
- 13188000 cubed (131880003) is 2293701060672000000000
-
The
square root of 13188000 is 3631.5286037703 -
The
cube root of 13188000 is 236.2615122745
Scales and comparisons
How big is 13188000?- 13,188,000 seconds is equal to 21 weeks, 5 days, 15 hours, 20 minutes.
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To count from 1 to 13,188,000 would take you about thirty-two 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 13188000 cubic inches would be around 19.7 feet tall.
Recreational maths with 13188000
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The information we have on file for 13188000 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!
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