213697120
213,697,120 is an even composite number composed of five prime numbers multiplied together.
213697120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 213697120:
25 × 5 × 7 × 132 × 1129
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 1129)See below for interesting mathematical facts about the number 213697120 from the Numbermatics database.
Names of 213697120
- Cardinal: 213697120 can be written as Two hundred thirteen million, six hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1369712 × 108
Factors of 213697120
Divisors of 213697120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 280 338 364 416 455 520 560 676 728 845 910 1040 1120 1129 1183 1352 1456 1690 1820 2080 2258 2366 2704 2912 3380 3640 4516 4732 5408 5645 5915 6760 7280 7903 9032 9464 11290 11830 13520 14560 14677 15806 18064 18928 22580 23660 27040 29354 31612 36128 37856 39515 45160 47320 58708 63224 73385 79030 90320 94640 102739 117416 126448 146770 158060 180640 189280 190801 205478 234832 252896 293540 316120 381602 410956 469664 513695 587080 632240 763204 821912 954005 1027390 1174160 1264480 1335607 1526408 1643824 1908010 2054780 2348320 2671214 3052816 3287648 3816020 4109560 5342428 6105632 6678035 7632040 8219120 10684856 13356070 15264080 16438240 21369712 26712140 30528160 42739424 53424280 106848560 213697120
- Sum of all divisors σ(n): 625332960
- Sum of proper divisors (its aliquot sum) s(n): 411635840
- 213697120 is an abundant number, because the sum of its proper divisors (411635840) is greater than itself. Its abundance is 197938720
Bases of 213697120
- Binary: 11001011110011000010011000002
- Hexadecimal: 0xCBCC260
- Base-36: 3J89R4
Squares and roots of 213697120
- 213697120 squared (2136971202) is 45666459096294400
- 213697120 cubed (2136971203) is 9758790789475915952128000
-
The
square root of 213697120 is 14618.3829475083 -
The
cube root of 213697120 is 597.8600806859
Scales and comparisons
How big is 213697120?- 213,697,120 seconds is equal to 6 years, 41 weeks, 2 days, 8 hours, 18 minutes, 40 seconds.
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To count from 1 to 213,697,120 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 213697120 cubic inches would be around 49.8 feet tall.
Recreational maths with 213697120
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