213978960
213,978,960 is an even composite number composed of five prime numbers multiplied together.
213978960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 213978960:
24 × 32 × 5 × 13 × 22861
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 22861)See below for interesting mathematical facts about the number 213978960 from the Numbermatics database.
Names of 213978960
- Cardinal: 213978960 can be written as Two hundred thirteen million, nine hundred seventy-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.1397896 × 108
Factors of 213978960
Divisors of 213978960
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 22861 45722 68583 91444 114305 137166 182888 205749 228610 274332 297193 342915 365776 411498 457220 548664 594386 685830 822996 891579 914440 1028745 1097328 1188772 1371660 1485965 1645992 1783158 1828880 2057490 2377544 2674737 2743320 2971930 3291984 3566316 4114980 4457895 4755088 5349474 5486640 5943860 7132632 8229960 8915790 10698948 11887720 13373685 14265264 16459920 17831580 21397896 23775440 26747370 35663160 42795792 53494740 71326320 106989480 213978960
- Sum of all divisors σ(n): 773924424
- Sum of proper divisors (its aliquot sum) s(n): 559945464
- 213978960 is an abundant number, because the sum of its proper divisors (559945464) is greater than itself. Its abundance is 345966504
Bases of 213978960
- Binary: 11001100000100001111010100002
- Hexadecimal: 0xCC10F50
- Base-36: 3JEB80
Squares and roots of 213978960
- 213978960 squared (2139789602) is 45786995322681600
- 213978960 cubed (2139789603) is 9797453640672273179136000
-
The
square root of 213978960 is 14628.0196882559 -
The
cube root of 213978960 is 598.1227996565
Scales and comparisons
How big is 213978960?- 213,978,960 seconds is equal to 6 years, 41 weeks, 5 days, 14 hours, 36 minutes.
-
To count from 1 to 213,978,960 would take you about ten 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 213978960 cubic inches would be around 49.8 feet tall.
Recreational maths with 213978960
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