460728000
460,728,000 is an even composite number composed of four prime numbers multiplied together.
460728000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred ninety-two divisors.
Prime factorization of 460728000:
26 × 36 × 53 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 79)See below for interesting mathematical facts about the number 460728000 from the Numbermatics database.
Names of 460728000
- Cardinal: 460728000 can be written as Four hundred sixty million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.60728 × 108
Factors of 460728000
Divisors of 460728000
- Number of divisors d(n): 392
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 79 80 81 90 96 100 108 120 125 135 144 150 158 160 162 180 192 200 216 225 237 240 243 250 270 288 300 316 320 324 360 375 395 400 405 432 450 474 480 486 500 540 576 600 632 648 675 711 720 729 750 790 800 810 864 900 948 960 972 1000 1080 1125 1185 1200 1215 1264 1296 1350 1422 1440 1458 1500 1580 1600 1620 1728 1800 1896 1944 1975 2000 2025 2133 2160 2250 2370 2400 2430 2528 2592 2700 2844 2880 2916 3000 3160 3240 3375 3555 3600 3645 3792 3888 3950 4000 4050 4266 4320 4500 4740 4800 4860 5056 5184 5400 5688 5832 5925 6000 6075 6320 6399 6480 6750 7110 7200 7290 7584 7776 7900 8000 8100 8532 8640 9000 9480 9720 9875 10125 10665 10800 11376 11664 11850 12000 12150 12640 12798 12960 13500 14220 14400 14580 15168 15552 15800 16200 17064 17775 18000 18225 18960 19197 19440 19750 20250 21330 21600 22752 23328 23700 24000 24300 25280 25596 25920 27000 28440 29160 29625 30375 31600 31995 32400 34128 35550 36000 36450 37920 38394 38880 39500 40500 42660 43200 45504 46656 47400 48600 51192 53325 54000 56880 57591 58320 59250 60750 63200 63990 64800 68256 71100 72000 72900 75840 76788 77760 79000 81000 85320 88875 91125 94800 95985 97200 102384 106650 108000 113760 115182 116640 118500 121500 126400 127980 129600 136512 142200 145800 153576 158000 159975 162000 170640 177750 182250 189600 191970 194400 204768 213300 216000 227520 230364 233280 237000 243000 255960 266625 284400 287955 291600 307152 316000 319950 324000 341280 355500 364500 379200 383940 388800 409536 426600 460728 474000 479925 486000 511920 533250 568800 575910 583200 614304 632000 639900 648000 682560 711000 729000 767880 799875 853200 921456 948000 959850 972000 1023840 1066500 1137600 1151820 1166400 1228608 1279800 1422000 1439775 1458000 1535760 1599750 1706400 1842912 1896000 1919700 1944000 2047680 2133000 2303640 2399625 2559600 2844000 2879550 2916000 3071520 3199500 3412800 3685824 3839400 4266000 4607280 4799250 5119200 5688000 5759100 5832000 6143040 6399000 7198875 7678800 8532000 9214560 9598500 10238400 11518200 12798000 14397750 15357600 17064000 18429120 19197000 23036400 25596000 28795500 30715200 38394000 46072800 51192000 57591000 76788000 92145600 115182000 153576000 230364000 460728000
- Sum of all divisors σ(n): 1732361280
- Sum of proper divisors (its aliquot sum) s(n): 1271633280
- 460728000 is an abundant number, because the sum of its proper divisors (1271633280) is greater than itself. Its abundance is 810905280
Bases of 460728000
- Binary: 110110111011000100110110000002
- Hexadecimal: 0x1B7626C0
- Base-36: 7MB000
Squares and roots of 460728000
- 460728000 squared (4607280002) is 212270289984000000
- 460728000 cubed (4607280003) is 97798866163748352000000000
-
The
square root of 460728000 is 21464.5754674999 -
The
cube root of 460728000 is 772.3512768647
Scales and comparisons
How big is 460728000?- 460,728,000 seconds is equal to 14 years, 33 weeks, 5 days, 12 hours.
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To count from 1 to 460,728,000 would take you about twenty-one 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 460728000 cubic inches would be around 64.4 feet tall.
Recreational maths with 460728000
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