213268320
213,268,320 is an even composite number composed of five prime numbers multiplied together.
213268320 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 213268320:
25 × 32 × 5 × 29 × 5107
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 5107)See below for interesting mathematical facts about the number 213268320 from the Numbermatics database.
Names of 213268320
- Cardinal: 213268320 can be written as Two hundred thirteen million, two hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.1326832 × 108
Factors of 213268320
Divisors of 213268320
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5107 5220 6960 8352 10214 10440 13920 15321 20428 20880 25535 30642 40856 41760 45963 51070 61284 76605 81712 91926 102140 122568 148103 153210 163424 183852 204280 229815 245136 296206 306420 367704 408560 444309 459630 490272 592412 612840 735408 740515 817120 888618 919260 1184824 1225680 1332927 1470816 1481030 1777236 1838520 2221545 2369648 2451360 2665854 2962060 3554472 3677040 4443090 4739296 5331708 5924120 6664635 7108944 7354080 8886180 10663416 11848240 13329270 14217888 17772360 21326832 23696480 26658540 35544720 42653664 53317080 71089440 106634160 213268320
- Sum of all divisors σ(n): 753021360
- Sum of proper divisors (its aliquot sum) s(n): 539753040
- 213268320 is an abundant number, because the sum of its proper divisors (539753040) is greater than itself. Its abundance is 326484720
Bases of 213268320
- Binary: 11001011011000110111011000002
- Hexadecimal: 0xCB63760
- Base-36: 3IZ2W0
Squares and roots of 213268320
- 213268320 squared (2132683202) is 45483376315622400
- 213268320 cubed (2132683203) is 9700163254760579002368000
-
The
square root of 213268320 is 14603.7091178919 -
The
cube root of 213268320 is 597.4599285697
Scales and comparisons
How big is 213268320?- 213,268,320 seconds is equal to 6 years, 40 weeks, 4 days, 9 hours, 12 minutes.
-
To count from 1 to 213,268,320 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 213268320 cubic inches would be around 49.8 feet tall.
Recreational maths with 213268320
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