107313920
107,313,920 is an even composite number composed of five prime numbers multiplied together.
107313920 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 107313920:
28 × 5 × 72 × 29 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 29 × 59)See below for interesting mathematical facts about the number 107313920 from the Numbermatics database.
Names of 107313920
- Cardinal: 107313920 can be written as One hundred seven million, three hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.0731392 × 108
Factors of 107313920
Divisors of 107313920
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 59 64 70 80 98 112 116 118 128 140 145 160 196 203 224 232 236 245 256 280 290 295 320 392 406 413 448 464 472 490 560 580 590 640 784 812 826 896 928 944 980 1015 1120 1160 1180 1280 1421 1568 1624 1652 1711 1792 1856 1888 1960 2030 2065 2240 2320 2360 2842 2891 3136 3248 3304 3422 3712 3776 3920 4060 4130 4480 4640 4720 5684 5782 6272 6496 6608 6844 7105 7424 7552 7840 8120 8260 8555 8960 9280 9440 11368 11564 11977 12544 12992 13216 13688 14210 14455 15104 15680 16240 16520 17110 18560 18880 22736 23128 23954 25984 26432 27376 28420 28910 31360 32480 33040 34220 37120 37760 45472 46256 47908 51968 52864 54752 56840 57820 59885 62720 64960 66080 68440 75520 83839 90944 92512 95816 105728 109504 113680 115640 119770 129920 132160 136880 167678 181888 185024 191632 219008 227360 231280 239540 259840 264320 273760 335356 363776 370048 383264 419195 438016 454720 462560 479080 528640 547520 670712 740096 766528 838390 909440 925120 958160 1095040 1341424 1533056 1676780 1818880 1850240 1916320 2190080 2682848 3066112 3353560 3700480 3832640 5365696 6707120 7665280 10731392 13414240 15330560 21462784 26828480 53656960 107313920
- Sum of all divisors σ(n): 314571600
- Sum of proper divisors (its aliquot sum) s(n): 207257680
- 107313920 is an abundant number, because the sum of its proper divisors (207257680) is greater than itself. Its abundance is 99943760
Bases of 107313920
- Binary: 1100110010101111011000000002
- Hexadecimal: 0x6657B00
- Base-36: 1RW3Y8
Squares and roots of 107313920
- 107313920 squared (1073139202) is 11516277425766400
- 107313920 cubed (1073139203) is 1235856874366501388288000
-
The
square root of 107313920 is 10359.2432156021 -
The
cube root of 107313920 is 475.2097614641
Scales and comparisons
How big is 107313920?- 107,313,920 seconds is equal to 3 years, 21 weeks, 3 days, 1 hour, 25 minutes, 20 seconds.
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To count from 1 to 107,313,920 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 107313920 cubic inches would be around 39.6 feet tall.
Recreational maths with 107313920
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