230507760
230,507,760 is an even composite number composed of six prime numbers multiplied together.
230507760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 230507760:
24 × 3 × 5 × 72 × 17 × 1153
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 1153)See below for interesting mathematical facts about the number 230507760 from the Numbermatics database.
Names of 230507760
- Cardinal: 230507760 can be written as Two hundred thirty million, five hundred seven thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 2.3050776 × 108
Factors of 230507760
Divisors of 230507760
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 49 51 56 60 68 70 80 84 85 98 102 105 112 119 120 136 140 147 168 170 196 204 210 238 240 245 255 272 280 294 336 340 357 392 408 420 476 490 510 560 588 595 680 714 735 784 816 833 840 952 980 1020 1153 1176 1190 1360 1428 1470 1666 1680 1785 1904 1960 2040 2306 2352 2380 2499 2856 2940 3332 3459 3570 3920 4080 4165 4612 4760 4998 5712 5765 5880 6664 6918 7140 8071 8330 9224 9520 9996 11530 11760 12495 13328 13836 14280 16142 16660 17295 18448 19601 19992 23060 24213 24990 27672 28560 32284 33320 34590 39202 39984 40355 46120 48426 49980 55344 56497 58803 64568 66640 69180 78404 80710 92240 96852 98005 99960 112994 117606 121065 129136 137207 138360 156808 161420 169491 193704 196010 199920 225988 235212 242130 274414 276720 282485 294015 313616 322840 338982 387408 392020 411621 451976 470424 484260 548828 564970 588030 645680 677964 686035 784040 823242 847455 903952 940848 960449 968520 1097656 1129940 1176060 1355928 1372070 1568080 1646484 1694910 1920898 1937040 2058105 2195312 2259880 2352120 2711856 2744140 2881347 3292968 3389820 3841796 4116210 4519760 4704240 4802245 5488280 5762694 6585936 6779640 7683592 8232420 9604490 10976560 11525388 13559280 14406735 15367184 16464840 19208980 23050776 28813470 32929680 38417960 46101552 57626940 76835920 115253880 230507760
- Sum of all divisors σ(n): 880898976
- Sum of proper divisors (its aliquot sum) s(n): 650391216
- 230507760 is an abundant number, because the sum of its proper divisors (650391216) is greater than itself. Its abundance is 419883456
Bases of 230507760
- Binary: 11011011110101000100111100002
- Hexadecimal: 0xDBD44F0
- Base-36: 3T8KXC
Squares and roots of 230507760
- 230507760 squared (2305077602) is 53133827420217600
- 230507760 cubed (2305077603) is 12247759538860937688576000
-
The
square root of 230507760 is 15182.4820105277 -
The
cube root of 230507760 is 613.1431068335
Scales and comparisons
How big is 230507760?- 230,507,760 seconds is equal to 7 years, 17 weeks, 21 hours, 56 minutes.
-
To count from 1 to 230,507,760 would take you about ten 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 230507760 cubic inches would be around 51.1 feet tall.
Recreational maths with 230507760
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