10828800
10,828,800 is an even composite number composed of four prime numbers multiplied together.
10828800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-eight divisors.
Prime factorization of 10828800:
210 × 32 × 52 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 47)See below for interesting mathematical facts about the number 10828800 from the Numbermatics database.
Names of 10828800
- Cardinal: 10828800 can be written as Ten million, eight hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.08288 × 107
Factors of 10828800
Divisors of 10828800
- Number of divisors d(n): 198
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 47 48 50 60 64 72 75 80 90 94 96 100 120 128 141 144 150 160 180 188 192 200 225 235 240 256 282 288 300 320 360 376 384 400 423 450 470 480 512 564 576 600 640 705 720 752 768 800 846 900 940 960 1024 1128 1152 1175 1200 1280 1410 1440 1504 1536 1600 1692 1800 1880 1920 2115 2256 2304 2350 2400 2560 2820 2880 3008 3072 3200 3384 3525 3600 3760 3840 4230 4512 4608 4700 4800 5120 5640 5760 6016 6400 6768 7050 7200 7520 7680 8460 9024 9216 9400 9600 10575 11280 11520 12032 12800 13536 14100 14400 15040 15360 16920 18048 18800 19200 21150 22560 23040 24064 25600 27072 28200 28800 30080 33840 36096 37600 38400 42300 45120 46080 48128 54144 56400 57600 60160 67680 72192 75200 76800 84600 90240 108288 112800 115200 120320 135360 144384 150400 169200 180480 216576 225600 230400 240640 270720 300800 338400 360960 433152 451200 541440 601600 676800 721920 902400 1082880 1203200 1353600 1804800 2165760 2707200 3609600 5414400 10828800
- Sum of all divisors σ(n): 39597168
- Sum of proper divisors (its aliquot sum) s(n): 28768368
- 10828800 is an abundant number, because the sum of its proper divisors (28768368) is greater than itself. Its abundance is 17939568
Bases of 10828800
- Binary: 1010010100111100000000002
- Hexadecimal: 0xA53C00
- Base-36: 6G3K0
Squares and roots of 10828800
- 10828800 squared (108288002) is 117262909440000
- 10828800 cubed (108288003) is 1269816593743872000000
-
The
square root of 10828800 is 3290.7142081925 -
The
cube root of 10828800 is 221.2381972063
Scales and comparisons
How big is 10828800?- 10,828,800 seconds is equal to 17 weeks, 6 days, 8 hours.
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To count from 1 to 10,828,800 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 10828800 cubic inches would be around 18.4 feet tall.
Recreational maths with 10828800
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