106848000
106,848,000 is an even composite number composed of five prime numbers multiplied together.
106848000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 106848000:
28 × 32 × 53 × 7 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 53)See below for interesting mathematical facts about the number 106848000 from the Numbermatics database.
Names of 106848000
- Cardinal: 106848000 can be written as One hundred six million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.06848 × 108
Factors of 106848000
Divisors of 106848000
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 53 56 60 63 64 70 72 75 80 84 90 96 100 105 106 112 120 125 126 128 140 144 150 159 160 168 175 180 192 200 210 212 224 225 240 250 252 256 265 280 288 300 315 318 320 336 350 360 371 375 384 400 420 424 448 450 477 480 500 504 525 530 560 576 600 630 636 640 672 700 720 742 750 768 795 800 840 848 875 896 900 954 960 1000 1008 1050 1060 1113 1120 1125 1152 1200 1260 1272 1280 1325 1344 1400 1440 1484 1500 1575 1590 1600 1680 1696 1750 1792 1800 1855 1908 1920 2000 2016 2100 2120 2226 2240 2250 2304 2385 2400 2520 2544 2625 2650 2688 2800 2880 2968 3000 3150 3180 3200 3339 3360 3392 3500 3600 3710 3816 3840 3975 4000 4032 4200 4240 4452 4480 4500 4770 4800 5040 5088 5250 5300 5376 5565 5600 5760 5936 6000 6300 6360 6400 6625 6678 6720 6784 7000 7200 7420 7632 7875 7950 8000 8064 8400 8480 8904 8960 9000 9275 9540 9600 10080 10176 10500 10600 11130 11200 11520 11872 11925 12000 12600 12720 13250 13356 13440 13568 14000 14400 14840 15264 15750 15900 16000 16128 16695 16800 16960 17808 18000 18550 19080 19200 19875 20160 20352 21000 21200 22260 22400 23744 23850 24000 25200 25440 26500 26712 26880 27825 28000 28800 29680 30528 31500 31800 32000 33390 33600 33920 35616 36000 37100 38160 39750 40320 40704 42000 42400 44520 44800 46375 47488 47700 48000 50400 50880 53000 53424 55650 56000 57600 59360 59625 61056 63000 63600 66780 67200 67840 71232 72000 74200 76320 79500 80640 83475 84000 84800 89040 92750 94976 95400 96000 100800 101760 106000 106848 111300 112000 118720 119250 122112 126000 127200 133560 134400 139125 142464 144000 148400 152640 159000 166950 168000 169600 178080 185500 190800 201600 203520 212000 213696 222600 224000 237440 238500 252000 254400 267120 278250 284928 288000 296800 305280 318000 333900 336000 339200 356160 371000 381600 403200 417375 424000 427392 445200 474880 477000 504000 508800 534240 556500 593600 610560 636000 667800 672000 712320 742000 763200 834750 848000 854784 890400 954000 1008000 1017600 1068480 1113000 1187200 1272000 1335600 1424640 1484000 1526400 1669500 1696000 1780800 1908000 2016000 2136960 2226000 2374400 2544000 2671200 2968000 3052800 3339000 3561600 3816000 4273920 4452000 5088000 5342400 5936000 6678000 7123200 7632000 8904000 10684800 11872000 13356000 15264000 17808000 21369600 26712000 35616000 53424000 106848000
- Sum of all divisors σ(n): 447685056
- Sum of proper divisors (its aliquot sum) s(n): 340837056
- 106848000 is an abundant number, because the sum of its proper divisors (340837056) is greater than itself. Its abundance is 233989056
Bases of 106848000
- Binary: 1100101111001011111000000002
- Hexadecimal: 0x65E5F00
- Base-36: 1RM4G0
Squares and roots of 106848000
- 106848000 squared (1068480002) is 11416495104000000
- 106848000 cubed (1068480003) is 1219829668872192000000000
-
The
square root of 106848000 is 10336.7306243319 -
The
cube root of 106848000 is 474.5210315043
Scales and comparisons
How big is 106848000?- 106,848,000 seconds is equal to 3 years, 20 weeks, 4 days, 16 hours.
-
To count from 1 to 106,848,000 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 106848000 cubic inches would be around 39.5 feet tall.
Recreational maths with 106848000
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