13322400
13,322,400 is an even composite number composed of six prime numbers multiplied together.
13322400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13322400:
25 × 3 × 52 × 7 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 61)See below for interesting mathematical facts about the number 13322400 from the Numbermatics database.
Names of 13322400
- Cardinal: 13322400 can be written as Thirteen million, three hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.33224 × 107
Factors of 13322400
Divisors of 13322400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 61 65 70 75 78 80 84 91 96 100 104 105 112 120 122 130 140 150 156 160 168 175 182 183 195 200 208 210 224 240 244 260 273 280 300 305 312 325 336 350 364 366 390 400 416 420 427 455 480 488 520 525 546 560 600 610 624 650 672 700 728 732 780 793 800 840 854 910 915 975 976 1040 1050 1092 1120 1200 1220 1248 1281 1300 1365 1400 1456 1464 1525 1560 1586 1680 1708 1820 1830 1950 1952 2080 2100 2135 2184 2275 2379 2400 2440 2562 2600 2730 2800 2912 2928 3050 3120 3172 3360 3416 3640 3660 3900 3965 4200 4270 4368 4550 4575 4758 4880 5124 5200 5460 5551 5600 5856 6100 6240 6344 6405 6825 6832 7280 7320 7800 7930 8400 8540 8736 9100 9150 9516 9760 10248 10400 10675 10920 11102 11895 12200 12688 12810 13650 13664 14560 14640 15600 15860 16653 16800 17080 18200 18300 19032 19825 20496 21350 21840 22204 23790 24400 25376 25620 27300 27755 29280 31200 31720 32025 33306 34160 36400 36600 38064 39650 40992 42700 43680 44408 47580 48800 51240 54600 55510 59475 63440 64050 66612 68320 72800 73200 76128 79300 83265 85400 88816 95160 102480 109200 111020 118950 126880 128100 133224 138775 146400 158600 166530 170800 177632 190320 204960 218400 222040 237900 256200 266448 277550 317200 333060 341600 380640 416325 444080 475800 512400 532896 555100 634400 666120 832650 888160 951600 1024800 1110200 1332240 1665300 1903200 2220400 2664480 3330600 4440800 6661200 13322400
- Sum of all divisors σ(n): 54246528
- Sum of proper divisors (its aliquot sum) s(n): 40924128
- 13322400 is an abundant number, because the sum of its proper divisors (40924128) is greater than itself. Its abundance is 27601728
Bases of 13322400
- Binary: 1100101101001000101000002
- Hexadecimal: 0xCB48A0
- Base-36: 7XJMO
Squares and roots of 13322400
- 13322400 squared (133224002) is 177486341760000
- 13322400 cubed (133224003) is 2364544039463424000000
-
The
square root of 13322400 is 3649.9863013441 -
The
cube root of 13322400 is 237.0613880749
Scales and comparisons
How big is 13322400?- 13,322,400 seconds is equal to 22 weeks, 4 hours, 40 minutes.
-
To count from 1 to 13,322,400 would take you about thirty-three 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 13322400 cubic inches would be around 19.8 feet tall.
Recreational maths with 13322400
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The information we have on file for 13322400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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