106880400
106,880,400 is an even composite number composed of five prime numbers multiplied together.
106880400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 106880400:
24 × 32 × 52 × 11 × 2699
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 2699)See below for interesting mathematical facts about the number 106880400 from the Numbermatics database.
Names of 106880400
- Cardinal: 106880400 can be written as One hundred six million, eight hundred eighty thousand, four hundred.
Scientific notation
- Scientific notation: 1.068804 × 108
Factors of 106880400
Divisors of 106880400
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 99 100 110 120 132 144 150 165 176 180 198 200 220 225 240 264 275 300 330 360 396 400 440 450 495 528 550 600 660 720 792 825 880 900 990 1100 1200 1320 1584 1650 1800 1980 2200 2475 2640 2699 3300 3600 3960 4400 4950 5398 6600 7920 8097 9900 10796 13200 13495 16194 19800 21592 24291 26990 29689 32388 39600 40485 43184 48582 53980 59378 64776 67475 80970 89067 97164 107960 118756 121455 129552 134950 148445 161940 178134 194328 202425 215920 237512 242910 267201 269900 296890 323880 356268 388656 404850 445335 475024 485820 534402 539800 593780 607275 647760 712536 742225 809700 890670 971640 1068804 1079600 1187560 1214550 1336005 1425072 1484450 1619400 1781340 1943280 2137608 2226675 2375120 2429100 2672010 2968900 3238800 3562680 4275216 4453350 4858200 5344020 5937800 6680025 7125360 8906700 9716400 10688040 11875600 13360050 17813400 21376080 26720100 35626800 53440200 106880400
- Sum of all divisors σ(n): 404773200
- Sum of proper divisors (its aliquot sum) s(n): 297892800
- 106880400 is an abundant number, because the sum of its proper divisors (297892800) is greater than itself. Its abundance is 191012400
Bases of 106880400
- Binary: 1100101111011011101100100002
- Hexadecimal: 0x65EDD90
- Base-36: 1RMTG0
Squares and roots of 106880400
- 106880400 squared (1068804002) is 11423419904160000
- 106880400 cubed (1068804003) is 1220939688724582464000000
-
The
square root of 106880400 is 10338.2977322187 -
The
cube root of 106880400 is 474.5689903731
Scales and comparisons
How big is 106880400?- 106,880,400 seconds is equal to 3 years, 20 weeks, 5 days, 1 hour.
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To count from 1 to 106,880,400 would take you about five years!
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 106880400 cubic inches would be around 39.5 feet tall.
Recreational maths with 106880400
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