76128000
76,128,000 is an even composite number composed of five prime numbers multiplied together.
76128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 76128000:
28 × 3 × 53 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 61)See below for interesting mathematical facts about the number 76128000 from the Numbermatics database.
Names of 76128000
- Cardinal: 76128000 can be written as Seventy-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 7.6128 × 107
Factors of 76128000
Divisors of 76128000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 61 64 65 75 78 80 96 100 104 120 122 125 128 130 150 156 160 183 192 195 200 208 240 244 250 256 260 300 305 312 320 325 366 375 384 390 400 416 480 488 500 520 600 610 624 640 650 732 750 768 780 793 800 832 915 960 975 976 1000 1040 1200 1220 1248 1280 1300 1464 1500 1525 1560 1586 1600 1625 1664 1830 1920 1950 1952 2000 2080 2379 2400 2440 2496 2600 2928 3000 3050 3120 3172 3200 3250 3328 3660 3840 3900 3904 3965 4000 4160 4575 4758 4800 4875 4880 4992 5200 5856 6000 6100 6240 6344 6400 6500 7320 7625 7800 7808 7930 8000 8320 9150 9516 9600 9750 9760 9984 10400 11712 11895 12000 12200 12480 12688 13000 14640 15250 15600 15616 15860 16000 16640 18300 19032 19200 19500 19520 19825 20800 22875 23424 23790 24000 24400 24960 25376 26000 29280 30500 31200 31720 32000 36600 38064 39000 39040 39650 41600 45750 46848 47580 48000 48800 49920 50752 52000 58560 59475 61000 62400 63440 73200 76128 78000 78080 79300 83200 91500 95160 96000 97600 99125 101504 104000 117120 118950 122000 124800 126880 146400 152256 156000 158600 183000 190320 195200 198250 203008 208000 234240 237900 244000 249600 253760 292800 297375 304512 312000 317200 366000 380640 390400 396500 416000 475800 488000 507520 585600 594750 609024 624000 634400 732000 761280 793000 951600 976000 1015040 1171200 1189500 1248000 1268800 1464000 1522560 1586000 1903200 1952000 2379000 2537600 2928000 3045120 3172000 3806400 4758000 5075200 5856000 6344000 7612800 9516000 12688000 15225600 19032000 25376000 38064000 76128000
- Sum of all divisors σ(n): 276773952
- Sum of proper divisors (its aliquot sum) s(n): 200645952
- 76128000 is an abundant number, because the sum of its proper divisors (200645952) is greater than itself. Its abundance is 124517952
Bases of 76128000
- Binary: 1001000100110011111000000002
- Hexadecimal: 0x4899F00
- Base-36: 19BOQO
Squares and roots of 76128000
- 76128000 squared (761280002) is 5795472384000000
- 76128000 cubed (761280003) is 441197721649152000000000
-
The
square root of 76128000 is 8725.1361020903 -
The
cube root of 76128000 is 423.8200256705
Scales and comparisons
How big is 76128000?- 76,128,000 seconds is equal to 2 years, 21 weeks, 6 days, 2 hours, 40 minutes.
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To count from 1 to 76,128,000 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 76128000 cubic inches would be around 35.3 feet tall.
Recreational maths with 76128000
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