152248320
152,248,320 is an even composite number composed of five prime numbers multiplied together.
152248320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 152248320:
213 × 32 × 5 × 7 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 59)See below for interesting mathematical facts about the number 152248320 from the Numbermatics database.
Names of 152248320
- Cardinal: 152248320 can be written as One hundred fifty-two million, two hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.5224832 × 108
Factors of 152248320
Divisors of 152248320
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 59 60 63 64 70 72 80 84 90 96 105 112 118 120 126 128 140 144 160 168 177 180 192 210 224 236 240 252 256 280 288 295 315 320 336 354 360 384 413 420 448 472 480 504 512 531 560 576 590 630 640 672 708 720 768 826 840 885 896 944 960 1008 1024 1062 1120 1152 1180 1239 1260 1280 1344 1416 1440 1536 1652 1680 1770 1792 1888 1920 2016 2048 2065 2124 2240 2304 2360 2478 2520 2560 2655 2688 2832 2880 3072 3304 3360 3540 3584 3717 3776 3840 4032 4096 4130 4248 4480 4608 4720 4956 5040 5120 5310 5376 5664 5760 6144 6195 6608 6720 7080 7168 7434 7552 7680 8064 8192 8260 8496 8960 9216 9440 9912 10080 10240 10620 10752 11328 11520 12288 12390 13216 13440 14160 14336 14868 15104 15360 16128 16520 16992 17920 18432 18585 18880 19824 20160 20480 21240 21504 22656 23040 24576 24780 26432 26880 28320 28672 29736 30208 30720 32256 33040 33984 35840 36864 37170 37760 39648 40320 40960 42480 43008 45312 46080 49560 52864 53760 56640 57344 59472 60416 61440 64512 66080 67968 71680 73728 74340 75520 79296 80640 84960 86016 90624 92160 99120 105728 107520 113280 118944 120832 122880 129024 132160 135936 143360 148680 151040 158592 161280 169920 172032 181248 184320 198240 211456 215040 226560 237888 241664 258048 264320 271872 286720 297360 302080 317184 322560 339840 362496 368640 396480 422912 430080 453120 475776 483328 516096 528640 543744 594720 604160 634368 645120 679680 724992 792960 845824 860160 906240 951552 1057280 1087488 1189440 1208320 1268736 1290240 1359360 1449984 1585920 1691648 1812480 1903104 2114560 2174976 2378880 2416640 2537472 2580480 2718720 3171840 3383296 3624960 3806208 4229120 4349952 4757760 5074944 5437440 6343680 7249920 7612416 8458240 9515520 10149888 10874880 12687360 15224832 16916480 19031040 21749760 25374720 30449664 38062080 50749440 76124160 152248320
- Sum of all divisors σ(n): 613379520
- Sum of proper divisors (its aliquot sum) s(n): 461131200
- 152248320 is an abundant number, because the sum of its proper divisors (461131200) is greater than itself. Its abundance is 308882880
Bases of 152248320
- Binary: 10010001001100100000000000002
- Hexadecimal: 0x9132000
- Base-36: 2IN7K0
Squares and roots of 152248320
- 152248320 squared (1522483202) is 23179550942822400
- 152248320 cubed (1522483203) is 3529047689399126458368000
-
The
square root of 152248320 is 12338.8946020297 -
The
cube root of 152248320 is 533.9707933359
Scales and comparisons
How big is 152248320?- 152,248,320 seconds is equal to 4 years, 43 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 152,248,320 would take you about seven 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 152248320 cubic inches would be around 44.5 feet tall.
Recreational maths with 152248320
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 152248320 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 152248320 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/152248320/
Chicago style:
Numbermatics. 2024. "Number 152248320 - Facts about the integer". https://numbermatics.com/n/152248320/
The information we have on file for 152248320 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 152248320, math, Factors of 152248320, curriculum, school, college, exams, university, Prime factorization of 152248320, STEM, science, technology, engineering, physics, economics, calculator, one hundred fifty-two million, two hundred forty-eight thousand, three hundred twenty.