106828800
106,828,800 is an even composite number composed of five prime numbers multiplied together.
106828800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 106828800:
210 × 3 × 52 × 13 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 107)See below for interesting mathematical facts about the number 106828800 from the Numbermatics database.
Names of 106828800
- Cardinal: 106828800 can be written as One hundred six million, eight hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.068288 × 108
Factors of 106828800
Divisors of 106828800
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 107 120 128 130 150 156 160 192 195 200 208 214 240 256 260 300 312 320 321 325 384 390 400 416 428 480 512 520 535 600 624 640 642 650 768 780 800 832 856 960 975 1024 1040 1070 1200 1248 1280 1284 1300 1391 1536 1560 1600 1605 1664 1712 1920 1950 2080 2140 2400 2496 2560 2568 2600 2675 2782 3072 3120 3200 3210 3328 3424 3840 3900 4160 4173 4280 4800 4992 5120 5136 5200 5350 5564 6240 6400 6420 6656 6848 6955 7680 7800 8025 8320 8346 8560 9600 9984 10272 10400 10700 11128 12480 12800 12840 13312 13696 13910 15360 15600 16050 16640 16692 17120 19200 19968 20544 20800 20865 21400 22256 24960 25600 25680 27392 27820 31200 32100 33280 33384 34240 34775 38400 39936 41088 41600 41730 42800 44512 49920 51360 54784 55640 62400 64200 66560 66768 68480 69550 76800 82176 83200 83460 85600 89024 99840 102720 104325 109568 111280 124800 128400 133536 136960 139100 164352 166400 166920 171200 178048 199680 205440 208650 222560 249600 256800 267072 273920 278200 328704 332800 333840 342400 356096 410880 417300 445120 499200 513600 534144 547840 556400 667680 684800 712192 821760 834600 890240 998400 1027200 1068288 1112800 1335360 1369600 1424384 1643520 1669200 1780480 2054400 2136576 2225600 2670720 2739200 3338400 3560960 4108800 4273152 4451200 5341440 6676800 7121920 8217600 8902400 10682880 13353600 17804800 21365760 26707200 35609600 53414400 106828800
- Sum of all divisors σ(n): 383787936
- Sum of proper divisors (its aliquot sum) s(n): 276959136
- 106828800 is an abundant number, because the sum of its proper divisors (276959136) is greater than itself. Its abundance is 170130336
Bases of 106828800
- Binary: 1100101111000010100000000002
- Hexadecimal: 0x65E1400
- Base-36: 1RLPMO
Squares and roots of 106828800
- 106828800 squared (1068288002) is 11412392509440000
- 106828800 cubed (1068288003) is 1219172196912463872000000
-
The
square root of 106828800 is 10335.8018556859 -
The
cube root of 106828800 is 474.4926068587
Scales and comparisons
How big is 106828800?- 106,828,800 seconds is equal to 3 years, 20 weeks, 4 days, 10 hours, 40 minutes.
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To count from 1 to 106,828,800 would take you about five 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 106828800 cubic inches would be around 39.5 feet tall.
Recreational maths with 106828800
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