513480960
513,480,960 is an even composite number composed of five prime numbers multiplied together.
513480960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 513480960:
28 × 32 × 5 × 292 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 29 × 53)See below for interesting mathematical facts about the number 513480960 from the Numbermatics database.
Names of 513480960
- Cardinal: 513480960 can be written as Five hundred thirteen million, four hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 5.1348096 × 108
Factors of 513480960
Divisors of 513480960
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 53 58 60 64 72 80 87 90 96 106 116 120 128 144 145 159 160 174 180 192 212 232 240 256 261 265 288 290 318 320 348 360 384 424 435 464 477 480 522 530 576 580 636 640 696 720 768 795 841 848 870 928 954 960 1044 1060 1152 1160 1272 1280 1305 1392 1440 1537 1590 1682 1696 1740 1856 1908 1920 2088 2120 2304 2320 2385 2523 2544 2610 2784 2880 3074 3180 3364 3392 3480 3712 3816 3840 4176 4205 4240 4611 4640 4770 5046 5088 5220 5568 5760 6148 6360 6728 6784 6960 7424 7569 7632 7685 8352 8410 8480 9222 9280 9540 10092 10176 10440 11136 11520 12296 12615 12720 13456 13568 13833 13920 15138 15264 15370 16704 16820 16960 18444 18560 19080 20184 20352 20880 22272 23055 24592 25230 25440 26912 27666 27840 30276 30528 30740 33408 33640 33920 36888 37120 37845 38160 40368 40704 41760 44573 46110 49184 50460 50880 53824 55332 55680 60552 61056 61480 66816 67280 67840 69165 73776 75690 76320 80736 83520 89146 92220 98368 100920 101760 107648 110664 111360 121104 122112 122960 133719 134560 138330 147552 151380 152640 161472 167040 178292 184440 196736 201840 203520 215296 221328 222865 242208 245920 267438 269120 276660 295104 302760 305280 322944 334080 356584 368880 393472 401157 403680 442656 445730 484416 491840 534876 538240 553320 590208 605520 610560 645888 668595 713168 737760 802314 807360 885312 891460 968832 983680 1069752 1076480 1106640 1180416 1211040 1337190 1426336 1475520 1604628 1614720 1770624 1782920 1937664 1967360 2005785 2139504 2213280 2422080 2674380 2852672 2951040 3209256 3229440 3541248 3565840 4011570 4279008 4426560 4844160 5348760 5705344 5902080 6418512 7131680 8023140 8558016 8853120 9688320 10697520 11410688 12837024 14263360 16046280 17116032 17706240 21395040 25674048 28526720 32092560 34232064 42790080 51348096 57053440 64185120 85580160 102696192 128370240 171160320 256740480 513480960
- Sum of all divisors σ(n): 1874681172
- Sum of proper divisors (its aliquot sum) s(n): 1361200212
- 513480960 is an abundant number, because the sum of its proper divisors (1361200212) is greater than itself. Its abundance is 847719252
Bases of 513480960
- Binary: 111101001101100011001000000002
- Hexadecimal: 0x1E9B1900
- Base-36: 8HPOG0
Squares and roots of 513480960
- 513480960 squared (5134809602) is 263662696282521600
- 513480960 cubed (5134809603) is 135385774403337622388736000
-
The
square root of 513480960 is 22660.1182697707 -
The
cube root of 513480960 is 800.7705908321
Scales and comparisons
How big is 513480960?- 513,480,960 seconds is equal to 16 years, 17 weeks, 1 hour, 36 minutes.
-
To count from 1 to 513,480,960 would take you about twenty-four 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 513480960 cubic inches would be around 66.7 feet tall.
Recreational maths with 513480960
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 513480960 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 513480960 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/513480960/
Chicago style:
Numbermatics. 2024. "Number 513480960 - Facts about the integer". https://numbermatics.com/n/513480960/
The information we have on file for 513480960 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 513480960, math, Factors of 513480960, curriculum, school, college, exams, university, Prime factorization of 513480960, STEM, science, technology, engineering, physics, economics, calculator, five hundred thirteen million, four hundred eighty thousand, nine hundred sixty.