10814720
10,814,720 is an even composite number composed of five prime numbers multiplied together.
10814720 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 10814720:
28 × 5 × 7 × 17 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 71)See below for interesting mathematical facts about the number 10814720 from the Numbermatics database.
Names of 10814720
- Cardinal: 10814720 can be written as Ten million, eight hundred fourteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.081472 × 107
Factors of 10814720
Divisors of 10814720
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 71 80 85 112 119 128 136 140 142 160 170 224 238 256 272 280 284 320 340 355 448 476 497 544 560 568 595 640 680 710 896 952 994 1088 1120 1136 1190 1207 1280 1360 1420 1792 1904 1988 2176 2240 2272 2380 2414 2485 2720 2840 3808 3976 4352 4480 4544 4760 4828 4970 5440 5680 6035 7616 7952 8449 8960 9088 9520 9656 9940 10880 11360 12070 15232 15904 16898 18176 19040 19312 19880 21760 22720 24140 30464 31808 33796 38080 38624 39760 42245 45440 48280 63616 67592 76160 77248 79520 84490 90880 96560 127232 135184 152320 154496 159040 168980 193120 270368 308992 318080 337960 386240 540736 636160 675920 772480 1081472 1351840 1544960 2162944 2703680 5407360 10814720
- Sum of all divisors σ(n): 31788288
- Sum of proper divisors (its aliquot sum) s(n): 20973568
- 10814720 is an abundant number, because the sum of its proper divisors (20973568) is greater than itself. Its abundance is 10158848
Bases of 10814720
- Binary: 1010010100000101000000002
- Hexadecimal: 0xA50500
- Base-36: 6FSOW
Squares and roots of 10814720
- 10814720 squared (108147202) is 116958168678400
- 10814720 cubed (108147203) is 1264869845969666048000
-
The
square root of 10814720 is 3288.5741591151 -
The
cube root of 10814720 is 221.1422682979
Scales and comparisons
How big is 10814720?- 10,814,720 seconds is equal to 17 weeks, 6 days, 4 hours, 5 minutes, 20 seconds.
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To count from 1 to 10,814,720 would take you about twenty-six weeks!
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 10814720 cubic inches would be around 18.4 feet tall.
Recreational maths with 10814720
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