126006720
126,006,720 is an even composite number composed of six prime numbers multiplied together.
126006720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 126006720:
26 × 3 × 5 × 7 × 17 × 1103
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 1103)See below for interesting mathematical facts about the number 126006720 from the Numbermatics database.
Names of 126006720
- Cardinal: 126006720 can be written as One hundred twenty-six million, six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.2600672 × 108
Factors of 126006720
Divisors of 126006720
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 136 140 160 168 170 192 204 210 224 238 240 255 272 280 320 336 340 357 408 420 448 476 480 510 544 560 595 672 680 714 816 840 952 960 1020 1088 1103 1120 1190 1344 1360 1428 1632 1680 1785 1904 2040 2206 2240 2380 2720 2856 3264 3309 3360 3570 3808 4080 4412 4760 5440 5515 5712 6618 6720 7140 7616 7721 8160 8824 9520 11030 11424 13236 14280 15442 16320 16545 17648 18751 19040 22060 22848 23163 26472 28560 30884 33090 35296 37502 38080 38605 44120 46326 52944 56253 57120 61768 66180 70592 75004 77210 88240 92652 93755 105888 112506 114240 115815 123536 131257 132360 150008 154420 176480 185304 187510 211776 225012 231630 247072 262514 264720 281265 300016 308840 352960 370608 375020 393771 450024 463260 494144 525028 529440 562530 600032 617680 656285 741216 750040 787542 900048 926520 1050056 1058880 1125060 1200064 1235360 1312570 1482432 1500080 1575084 1800096 1853040 1968855 2100112 2250120 2470720 2625140 3000160 3150168 3600192 3706080 3937710 4200224 4500240 5250280 6000320 6300336 7412160 7875420 8400448 9000480 10500560 12600672 15750840 18000960 21001120 25201344 31501680 42002240 63003360 126006720
- Sum of all divisors σ(n): 484558848
- Sum of proper divisors (its aliquot sum) s(n): 358552128
- 126006720 is an abundant number, because the sum of its proper divisors (358552128) is greater than itself. Its abundance is 232545408
Bases of 126006720
- Binary: 1111000001010110101110000002
- Hexadecimal: 0x782B5C0
- Base-36: 230REO
Squares and roots of 126006720
- 126006720 squared (1260067202) is 15877693485158400
- 126006720 cubed (1260067203) is 2000696077230178664448000
-
The
square root of 126006720 is 11225.2714889217 -
The
cube root of 126006720 is 501.3387058679
Scales and comparisons
How big is 126006720?- 126,006,720 seconds is equal to 4 years, 2 days, 9 hours, 52 minutes.
-
To count from 1 to 126,006,720 would take you about six 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 126006720 cubic inches would be around 41.8 feet tall.
Recreational maths with 126006720
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