189120960
189,120,960 is an even composite number composed of six prime numbers multiplied together.
189120960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 189120960:
26 × 33 × 5 × 7 × 53 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 53 × 59)See below for interesting mathematical facts about the number 189120960 from the Numbermatics database.
Names of 189120960
- Cardinal: 189120960 can be written as One hundred eighty-nine million, one hundred twenty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.8912096 × 108
Factors of 189120960
Divisors of 189120960
- Number of divisors d(n): 448
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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 27 28 30 32 35 36 40 42 45 48 53 54 56 59 60 63 64 70 72 80 84 90 96 105 106 108 112 118 120 126 135 140 144 159 160 168 177 180 189 192 210 212 216 224 236 240 252 265 270 280 288 295 315 318 320 336 354 360 371 378 413 420 424 432 448 472 477 480 504 530 531 540 560 576 590 630 636 672 708 720 742 756 795 826 840 848 864 885 944 945 954 960 1008 1060 1062 1080 1113 1120 1180 1239 1260 1272 1344 1416 1431 1440 1484 1512 1590 1593 1652 1680 1696 1728 1770 1855 1888 1890 1908 2016 2065 2120 2124 2160 2226 2240 2360 2385 2478 2520 2544 2655 2832 2862 2880 2968 3024 3127 3180 3186 3304 3339 3360 3392 3540 3710 3717 3776 3780 3816 4032 4130 4240 4248 4320 4452 4720 4770 4956 5040 5088 5310 5565 5664 5724 5936 6048 6195 6254 6360 6372 6608 6678 6720 7080 7155 7420 7434 7560 7632 7965 8260 8480 8496 8640 8904 9381 9440 9540 9912 10017 10080 10176 10620 11130 11151 11328 11448 11872 12096 12390 12508 12720 12744 13216 13356 14160 14310 14840 14868 15120 15264 15635 15930 16520 16695 16960 16992 17808 18585 18762 18880 19080 19824 20034 20160 21240 21889 22260 22302 22896 23744 24780 25016 25440 25488 26432 26712 28143 28320 28620 29680 29736 30240 30528 31270 31860 33040 33390 33984 35616 37170 37524 38160 39648 40068 42480 43778 44520 44604 45792 46905 49560 50032 50085 50880 50976 53424 55755 56286 56640 57240 59360 59472 60480 62540 63720 65667 66080 66780 71232 74340 75048 76320 79296 80136 84429 84960 87556 89040 89208 91584 93810 99120 100064 100170 101952 106848 109445 111510 112572 114480 118720 118944 125080 127440 131334 132160 133560 140715 148680 150096 152640 160272 168858 169920 175112 178080 178416 187620 197001 198240 200128 200340 213696 218890 223020 225144 228960 237888 250160 254880 262668 267120 281430 297360 300192 320544 328335 337716 350224 356160 356832 375240 394002 396480 400680 422145 437780 446040 450288 457920 500320 509760 525336 534240 562860 591003 594720 600384 641088 656670 675432 700448 713664 750480 788004 801360 844290 875560 892080 900576 985005 1000640 1050672 1068480 1125720 1182006 1189440 1313340 1350864 1400896 1500960 1576008 1602720 1688580 1751120 1784160 1801152 1970010 2101344 2251440 2364012 2626680 2701728 2955015 3001920 3152016 3205440 3377160 3502240 3568320 3940020 4202688 4502880 4728024 5253360 5403456 5910030 6304032 6754320 7004480 7880040 9005760 9456048 10506720 11820060 12608064 13508640 15760080 18912096 21013440 23640120 27017280 31520160 37824192 47280240 63040320 94560480 189120960
- Sum of all divisors σ(n): 790041600
- Sum of proper divisors (its aliquot sum) s(n): 600920640
- 189120960 is an abundant number, because the sum of its proper divisors (600920640) is greater than itself. Its abundance is 411799680
Bases of 189120960
- Binary: 10110100010111000001110000002
- Hexadecimal: 0xB45C1C0
- Base-36: 34LIO0
Squares and roots of 189120960
- 189120960 squared (1891209602) is 35766737511321600
- 189120960 cubed (1891209603) is 6764239734209151860736000
-
The
square root of 189120960 is 13752.1256538763 -
The
cube root of 189120960 is 574.0017563189
Scales and comparisons
How big is 189120960?- 189,120,960 seconds is equal to 6 years, 4 days, 21 hours, 36 minutes.
-
To count from 1 to 189,120,960 would take you about nine 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 189120960 cubic inches would be around 47.8 feet tall.
Recreational maths with 189120960
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