20428800
20,428,800 is an even composite number composed of five prime numbers multiplied together.
20428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 20428800:
211 × 3 × 52 × 7 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19)See below for interesting mathematical facts about the number 20428800 from the Numbermatics database.
Names of 20428800
- Cardinal: 20428800 can be written as Twenty million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.04288 × 107
Factors of 20428800
Divisors of 20428800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 80 84 95 96 100 105 112 114 120 128 133 140 150 152 160 168 175 190 192 200 210 224 228 240 256 266 280 285 300 304 320 336 350 380 384 399 400 420 448 456 475 480 512 525 532 560 570 600 608 640 665 672 700 760 768 798 800 840 896 912 950 960 1024 1050 1064 1120 1140 1200 1216 1280 1330 1344 1400 1425 1520 1536 1596 1600 1680 1792 1824 1900 1920 1995 2048 2100 2128 2240 2280 2400 2432 2560 2660 2688 2800 2850 3040 3072 3192 3200 3325 3360 3584 3648 3800 3840 3990 4200 4256 4480 4560 4800 4864 5120 5320 5376 5600 5700 6080 6144 6384 6400 6650 6720 7168 7296 7600 7680 7980 8400 8512 8960 9120 9600 9728 9975 10240 10640 10752 11200 11400 12160 12768 12800 13300 13440 14336 14592 15200 15360 15960 16800 17024 17920 18240 19200 19456 19950 21280 21504 22400 22800 24320 25536 25600 26600 26880 29184 30400 30720 31920 33600 34048 35840 36480 38400 38912 39900 42560 43008 44800 45600 48640 51072 51200 53200 53760 58368 60800 63840 67200 68096 71680 72960 76800 79800 85120 89600 91200 97280 102144 106400 107520 116736 121600 127680 134400 136192 145920 153600 159600 170240 179200 182400 194560 204288 212800 215040 243200 255360 268800 272384 291840 319200 340480 358400 364800 408576 425600 486400 510720 537600 583680 638400 680960 729600 817152 851200 972800 1021440 1075200 1276800 1361920 1459200 1702400 2042880 2553600 2918400 3404800 4085760 5107200 6809600 10214400 20428800
- Sum of all divisors σ(n): 81244800
- Sum of proper divisors (its aliquot sum) s(n): 60816000
- 20428800 is an abundant number, because the sum of its proper divisors (60816000) is greater than itself. Its abundance is 40387200
Bases of 20428800
- Binary: 10011011110111000000000002
- Hexadecimal: 0x137B800
- Base-36: C5UYO
Squares and roots of 20428800
- 20428800 squared (204288002) is 417335869440000
- 20428800 cubed (204288003) is 8525671009615872000000
-
The
square root of 20428800 is 4519.8230053843 -
The
cube root of 20428800 is 273.3679644137
Scales and comparisons
How big is 20428800?- 20,428,800 seconds is equal to 33 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 20,428,800 would take you about fifty 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 20428800 cubic inches would be around 22.8 feet tall.
Recreational maths with 20428800
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The information we have on file for 20428800 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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