72428160
72,428,160 is an even composite number composed of six prime numbers multiplied together.
72428160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 72428160:
27 × 3 × 5 × 7 × 17 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 317)See below for interesting mathematical facts about the number 72428160 from the Numbermatics database.
Names of 72428160
- Cardinal: 72428160 can be written as Seventy-two million, four hundred twenty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 7.242816 × 107
Factors of 72428160
Divisors of 72428160
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 272 280 317 320 336 340 357 384 408 420 448 476 480 510 544 560 595 634 640 672 680 714 816 840 896 951 952 960 1020 1088 1120 1190 1268 1344 1360 1428 1585 1632 1680 1785 1902 1904 1920 2040 2176 2219 2240 2380 2536 2688 2720 2856 3170 3264 3360 3570 3804 3808 4080 4438 4480 4755 4760 5072 5389 5440 5712 6340 6528 6657 6720 7140 7608 7616 8160 8876 9510 9520 10144 10778 10880 11095 11424 12680 13314 13440 14280 15216 15232 16167 16320 17752 19020 19040 20288 21556 22190 22848 25360 26628 26945 28560 30432 32334 32640 33285 35504 37723 38040 38080 40576 43112 44380 45696 50720 53256 53890 57120 60864 64668 66570 71008 75446 76080 76160 80835 86224 88760 101440 106512 107780 113169 114240 121728 129336 133140 142016 150892 152160 161670 172448 177520 188615 202880 213024 215560 226338 228480 258672 266280 284032 301784 304320 323340 344896 355040 377230 426048 431120 452676 517344 532560 565845 603568 608640 646680 689792 710080 754460 852096 862240 905352 1034688 1065120 1131690 1207136 1293360 1420160 1508920 1724480 1810704 2069376 2130240 2263380 2414272 2586720 3017840 3448960 3621408 4260480 4526760 4828544 5173440 6035680 7242816 9053520 10346880 12071360 14485632 18107040 24142720 36214080 72428160
- Sum of all divisors σ(n): 280247040
- Sum of proper divisors (its aliquot sum) s(n): 207818880
- 72428160 is an abundant number, because the sum of its proper divisors (207818880) is greater than itself. Its abundance is 135390720
Bases of 72428160
- Binary: 1000101000100101010100000002
- Hexadecimal: 0x4512A80
- Base-36: 174DXC
Squares and roots of 72428160
- 72428160 squared (724281602) is 5245838360985600
- 72428160 cubed (724281603) is 379946420143602794496000
-
The
square root of 72428160 is 8510.4735473417 -
The
cube root of 72428160 is 416.8397730499
Scales and comparisons
How big is 72428160?- 72,428,160 seconds is equal to 2 years, 15 weeks, 5 days, 6 hours, 56 minutes.
-
To count from 1 to 72,428,160 would take you about three 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 72428160 cubic inches would be around 34.7 feet tall.
Recreational maths with 72428160
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"Number 72428160 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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