135457920
135,457,920 is an even composite number composed of five prime numbers multiplied together.
135457920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135457920:
27 × 35 × 5 × 13 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 67)See below for interesting mathematical facts about the number 135457920 from the Numbermatics database.
Names of 135457920
- Cardinal: 135457920 can be written as One hundred thirty-five million, four hundred fifty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3545792 × 108
Factors of 135457920
Divisors of 135457920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 67 72 78 80 81 90 96 104 108 117 120 128 130 134 135 144 156 160 162 180 192 195 201 208 216 234 240 243 260 268 270 288 312 320 324 335 351 360 384 390 402 405 416 432 468 480 486 520 536 540 576 585 603 624 640 648 670 702 720 780 804 810 832 864 871 936 960 972 1005 1040 1053 1072 1080 1152 1170 1206 1215 1248 1296 1340 1404 1440 1560 1608 1620 1664 1728 1742 1755 1809 1872 1920 1944 2010 2080 2106 2144 2160 2340 2412 2430 2496 2592 2613 2680 2808 2880 3015 3120 3159 3216 3240 3456 3484 3510 3618 3744 3888 4020 4160 4212 4288 4320 4355 4680 4824 4860 4992 5184 5226 5265 5360 5427 5616 5760 6030 6240 6318 6432 6480 6968 7020 7236 7488 7776 7839 8040 8320 8424 8576 8640 8710 9045 9360 9648 9720 10368 10452 10530 10720 10854 11232 12060 12480 12636 12864 12960 13065 13936 14040 14472 14976 15552 15678 15795 16080 16281 16848 17280 17420 18090 18720 19296 19440 20904 21060 21440 21708 22464 23517 24120 24960 25272 25728 25920 26130 27135 27872 28080 28944 31104 31356 31590 32160 32562 33696 34840 36180 37440 38592 38880 39195 41808 42120 42880 43416 44928 47034 48240 50544 51840 52260 54270 55744 56160 57888 62712 63180 64320 65124 67392 69680 70551 72360 74880 77184 77760 78390 81405 83616 84240 86832 94068 96480 101088 104520 108540 111488 112320 115776 117585 125424 126360 128640 130248 134784 139360 141102 144720 155520 156780 162810 167232 168480 173664 188136 192960 202176 209040 211653 217080 224640 231552 235170 250848 252720 260496 278720 282204 289440 313560 325620 334464 336960 347328 352755 376272 385920 404352 418080 423306 434160 470340 501696 505440 520992 557440 564408 578880 627120 651240 673920 694656 705510 752544 836160 846612 868320 940680 1003392 1010880 1041984 1058265 1128816 1157760 1254240 1302480 1411020 1505088 1672320 1693224 1736640 1881360 2021760 2083968 2116530 2257632 2508480 2604960 2822040 3010176 3386448 3473280 3762720 4233060 4515264 5016960 5209920 5644080 6772896 7525440 8466120 9030528 10419840 11288160 13545792 15050880 16932240 22576320 27091584 33864480 45152640 67728960 135457920
- Sum of all divisors σ(n): 530187840
- Sum of proper divisors (its aliquot sum) s(n): 394729920
- 135457920 is an abundant number, because the sum of its proper divisors (394729920) is greater than itself. Its abundance is 259272000
Bases of 135457920
- Binary: 10000001001011101100100000002
- Hexadecimal: 0x812EC80
- Base-36: 28NC00
Squares and roots of 135457920
- 135457920 squared (1354579202) is 18348848090726400
- 135457920 cubed (1354579203) is 2485496796765769433088000
-
The
square root of 135457920 is 11638.6390957019 -
The
cube root of 135457920 is 513.5721532635
Scales and comparisons
How big is 135457920?- 135,457,920 seconds is equal to 4 years, 15 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 135,457,920 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 135457920 cubic inches would be around 42.8 feet tall.
Recreational maths with 135457920
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 135457920 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 135457920 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/135457920/
Chicago style:
Numbermatics. 2024. "Number 135457920 - Facts about the integer". https://numbermatics.com/n/135457920/
The information we have on file for 135457920 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!
Keywords: Divisors of 135457920, math, Factors of 135457920, curriculum, school, college, exams, university, Prime factorization of 135457920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five million, four hundred fifty-seven thousand, nine hundred twenty.