152748960
152,748,960 is an even composite number composed of six prime numbers multiplied together.
152748960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 152748960:
25 × 3 × 5 × 7 × 132 × 269
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 269)See below for interesting mathematical facts about the number 152748960 from the Numbermatics database.
Names of 152748960
- Cardinal: 152748960 can be written as One hundred fifty-two million, seven hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.5274896 × 108
Factors of 152748960
Divisors of 152748960
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 65 70 78 80 84 91 96 104 105 112 120 130 140 156 160 168 169 182 195 208 210 224 240 260 269 273 280 312 336 338 364 390 416 420 455 480 507 520 538 546 560 624 672 676 728 780 807 840 845 910 1014 1040 1076 1092 1120 1183 1248 1345 1352 1365 1456 1560 1614 1680 1690 1820 1883 2028 2080 2152 2184 2366 2535 2690 2704 2730 2912 3120 3228 3360 3380 3497 3549 3640 3766 4035 4056 4304 4368 4732 5070 5380 5408 5460 5649 5915 6240 6456 6760 6994 7098 7280 7532 8070 8112 8608 8736 9415 9464 10140 10491 10760 10920 11298 11830 12912 13520 13988 14196 14560 15064 16140 16224 17485 17745 18830 18928 20280 20982 21520 21840 22596 23660 24479 25824 27040 27976 28245 28392 30128 32280 34970 35490 37660 37856 40560 41964 43040 43680 45192 45461 47320 48958 52455 55952 56490 56784 60256 64560 69940 70980 73437 75320 81120 83928 90384 90922 94640 97916 104910 111904 112980 113568 122395 129120 136383 139880 141960 146874 150640 167856 180768 181844 189280 195832 209820 225960 227305 244790 272766 279760 283920 293748 301280 318227 335712 363688 367185 391664 419640 451920 454610 489580 545532 559520 567840 587496 636454 681915 727376 734370 783328 839280 903840 909220 954681 979160 1091064 1174992 1272908 1363830 1454752 1468740 1591135 1678560 1818440 1909362 1958320 2182128 2349984 2545816 2727660 2937480 3182270 3636880 3818724 3916640 4364256 4773405 5091632 5455320 5874960 6364540 7273760 7637448 9546810 10183264 10910640 11749920 12729080 15274896 19093620 21821280 25458160 30549792 38187240 50916320 76374480 152748960
- Sum of all divisors σ(n): 597663360
- Sum of proper divisors (its aliquot sum) s(n): 444914400
- 152748960 is an abundant number, because the sum of its proper divisors (444914400) is greater than itself. Its abundance is 292165440
Bases of 152748960
- Binary: 10010001101011000011101000002
- Hexadecimal: 0x91AC3A0
- Base-36: 2IXXUO
Squares and roots of 152748960
- 152748960 squared (1527489602) is 23332244781081600
- 152748960 cubed (1527489603) is 3563976124775642075136000
-
The
square root of 152748960 is 12359.1650203401 -
The
cube root of 152748960 is 534.5554405179
Scales and comparisons
How big is 152748960?- 152,748,960 seconds is equal to 4 years, 44 weeks, 3 days, 22 hours, 16 minutes.
-
To count from 1 to 152,748,960 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 152748960 cubic inches would be around 44.5 feet tall.
Recreational maths with 152748960
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 152748960 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 152748960 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/152748960/
Chicago style:
Numbermatics. 2024. "Number 152748960 - Facts about the integer". https://numbermatics.com/n/152748960/
The information we have on file for 152748960 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 152748960, math, Factors of 152748960, curriculum, school, college, exams, university, Prime factorization of 152748960, STEM, science, technology, engineering, physics, economics, calculator, one hundred fifty-two million, seven hundred forty-eight thousand, nine hundred sixty.