106842240
106,842,240 is an even composite number composed of four prime numbers multiplied together.
106842240 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 106842240:
27 × 36 × 5 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 229)See below for interesting mathematical facts about the number 106842240 from the Numbermatics database.
Names of 106842240
- Cardinal: 106842240 can be written as One hundred six million, eight hundred forty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.0684224 × 108
Factors of 106842240
Divisors of 106842240
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 229 240 243 270 288 320 324 360 384 405 432 458 480 486 540 576 640 648 687 720 729 810 864 916 960 972 1080 1145 1152 1215 1296 1374 1440 1458 1620 1728 1832 1920 1944 2061 2160 2290 2430 2592 2748 2880 2916 3240 3435 3456 3645 3664 3888 4122 4320 4580 4860 5184 5496 5760 5832 6183 6480 6870 7290 7328 7776 8244 8640 9160 9720 10305 10368 10992 11664 12366 12960 13740 14580 14656 15552 16488 17280 18320 18549 19440 20610 21984 23328 24732 25920 27480 29160 29312 30915 31104 32976 36640 37098 38880 41220 43968 46656 49464 51840 54960 55647 58320 61830 65952 73280 74196 77760 82440 87936 92745 93312 98928 109920 111294 116640 123660 131904 146560 148392 155520 164880 166941 185490 197856 219840 222588 233280 247320 263808 278235 296784 329760 333882 370980 395712 439680 445176 466560 494640 556470 593568 659520 667764 741960 791424 834705 890352 989280 1112940 1187136 1319040 1335528 1483920 1669410 1780704 1978560 2225880 2374272 2671056 2967840 3338820 3561408 3957120 4451760 5342112 5935680 6677640 7122816 8903520 10684224 11871360 13355280 17807040 21368448 26710560 35614080 53421120 106842240
- Sum of all divisors σ(n): 384626700
- Sum of proper divisors (its aliquot sum) s(n): 277784460
- 106842240 is an abundant number, because the sum of its proper divisors (277784460) is greater than itself. Its abundance is 170942220
Bases of 106842240
- Binary: 1100101111001001000100000002
- Hexadecimal: 0x65E4880
- Base-36: 1RM000
Squares and roots of 106842240
- 106842240 squared (1068422402) is 11415264248217600
- 106842240 cubed (1068422403) is 1219632402471484391424000
-
The
square root of 106842240 is 10336.4520025007 -
The
cube root of 106842240 is 474.5125044681
Scales and comparisons
How big is 106842240?- 106,842,240 seconds is equal to 3 years, 20 weeks, 4 days, 14 hours, 24 minutes.
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To count from 1 to 106,842,240 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 106842240 cubic inches would be around 39.5 feet tall.
Recreational maths with 106842240
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