126753120
126,753,120 is an even composite number composed of six prime numbers multiplied together.
126753120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 126753120:
25 × 33 × 5 × 13 × 37 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 37 × 61)See below for interesting mathematical facts about the number 126753120 from the Numbermatics database.
Names of 126753120
- Cardinal: 126753120 can be written as One hundred twenty-six million, seven hundred fifty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.2675312 × 108
Factors of 126753120
Divisors of 126753120
- 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 37 39 40 45 48 52 54 60 61 65 72 74 78 80 90 96 104 108 111 117 120 122 130 135 144 148 156 160 180 183 185 195 208 216 222 234 240 244 260 270 288 296 305 312 333 351 360 366 370 390 416 432 444 468 480 481 488 520 540 549 555 585 592 610 624 666 702 720 732 740 780 793 864 888 915 936 962 976 999 1040 1080 1098 1110 1170 1184 1220 1248 1332 1404 1440 1443 1464 1480 1560 1586 1647 1665 1755 1776 1830 1872 1924 1952 1998 2080 2160 2196 2220 2257 2340 2379 2405 2440 2664 2745 2808 2886 2928 2960 3120 3172 3294 3330 3510 3552 3660 3744 3848 3965 3996 4320 4329 4392 4440 4514 4680 4758 4810 4880 4995 5328 5490 5616 5772 5856 5920 6240 6344 6588 6660 6771 7020 7137 7215 7320 7696 7930 7992 8235 8658 8784 8880 9028 9360 9516 9620 9760 9990 10656 10980 11232 11285 11544 11895 12688 12987 13176 13320 13542 14040 14274 14430 14640 15392 15860 15984 16470 17316 17568 17760 18056 18720 19032 19240 19980 20313 21411 21645 21960 22570 23088 23790 25376 25974 26352 26640 27084 28080 28548 28860 29280 29341 31720 31968 32940 33855 34632 35685 36112 38064 38480 39960 40626 42822 43290 43920 45140 46176 47580 51948 52704 53280 54168 56160 57096 57720 58682 60939 63440 64935 65880 67710 69264 71370 72224 76128 76960 79920 81252 85644 86580 87840 88023 90280 95160 101565 103896 107055 108336 114192 115440 117364 121878 126880 129870 131760 135420 138528 142740 146705 159840 162504 171288 173160 176046 180560 190320 203130 207792 214110 216672 228384 230880 234728 243756 259740 263520 264069 270840 285480 293410 304695 325008 342576 346320 352092 361120 380640 406260 415584 428220 440115 469456 487512 519480 528138 541680 570960 586820 609390 650016 685152 692640 704184 792207 812520 856440 880230 938912 975024 1038960 1056276 1083360 1141920 1173640 1218780 1320345 1408368 1584414 1625040 1712880 1760460 1950048 2077920 2112552 2347280 2437560 2640690 2816736 3168828 3250080 3425760 3520920 3961035 4225104 4694560 4875120 5281380 6337656 7041840 7922070 8450208 9750240 10562760 12675312 14083680 15844140 21125520 25350624 31688280 42251040 63376560 126753120
- Sum of all divisors σ(n): 498718080
- Sum of proper divisors (its aliquot sum) s(n): 371964960
- 126753120 is an abundant number, because the sum of its proper divisors (371964960) is greater than itself. Its abundance is 245211840
Bases of 126753120
- Binary: 1111000111000011001011000002
- Hexadecimal: 0x78E1960
- Base-36: 23GRC0
Squares and roots of 126753120
- 126753120 squared (1267531202) is 16066353429734400
- 126753120 cubed (1267531203) is 2036460424241535971328000
-
The
square root of 126753120 is 11258.4688124097 -
The
cube root of 126753120 is 502.3266499403
Scales and comparisons
How big is 126753120?- 126,753,120 seconds is equal to 4 years, 1 week, 4 days, 1 hour, 12 minutes.
-
To count from 1 to 126,753,120 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 126753120 cubic inches would be around 41.9 feet tall.
Recreational maths with 126753120
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 126753120 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 126753120 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/126753120/
Chicago style:
Numbermatics. 2024. "Number 126753120 - Facts about the integer". https://numbermatics.com/n/126753120/
The information we have on file for 126753120 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 126753120, math, Factors of 126753120, curriculum, school, college, exams, university, Prime factorization of 126753120, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-six million, seven hundred fifty-three thousand, one hundred twenty.