106120800
106,120,800 is an even composite number composed of four prime numbers multiplied together.
106120800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 106120800:
25 × 33 × 52 × 173
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 17)See below for interesting mathematical facts about the number 106120800 from the Numbermatics database.
Names of 106120800
- Cardinal: 106120800 can be written as One hundred six million, one hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.061208 × 108
Factors of 106120800
Divisors of 106120800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 68 72 75 80 85 90 96 100 102 108 120 135 136 144 150 153 160 170 180 200 204 216 225 240 255 270 272 288 289 300 306 340 360 400 408 425 432 450 459 480 510 540 544 578 600 612 675 680 720 765 800 816 850 864 867 900 918 1020 1080 1156 1200 1224 1275 1350 1360 1440 1445 1530 1632 1700 1734 1800 1836 2040 2160 2295 2312 2400 2448 2550 2601 2700 2720 2890 3060 3400 3468 3600 3672 3825 4080 4320 4335 4590 4624 4896 4913 5100 5202 5400 5780 6120 6800 6936 7200 7225 7344 7650 7803 8160 8670 9180 9248 9826 10200 10404 10800 11475 11560 12240 13005 13600 13872 14450 14688 14739 15300 15606 17340 18360 19652 20400 20808 21600 21675 22950 23120 24480 24565 26010 27744 28900 29478 30600 31212 34680 36720 39015 39304 40800 41616 43350 44217 45900 46240 49130 52020 57800 58956 61200 62424 65025 69360 73440 73695 78030 78608 83232 86700 88434 91800 98260 104040 115600 117912 122400 122825 124848 130050 132651 138720 147390 156060 157216 173400 176868 183600 195075 196520 208080 221085 231200 235824 245650 249696 260100 265302 294780 312120 346800 353736 367200 368475 390150 393040 416160 442170 471648 491300 520200 530604 589560 624240 663255 693600 707472 736950 780300 786080 884340 982600 1040400 1061208 1105425 1179120 1248480 1326510 1414944 1473900 1560600 1768680 1965200 2080800 2122416 2210850 2358240 2653020 2947800 3121200 3316275 3537360 3930400 4244832 4421700 5306040 5895600 6242400 6632550 7074720 8843400 10612080 11791200 13265100 17686800 21224160 26530200 35373600 53060400 106120800
- Sum of all divisors σ(n): 407786400
- Sum of proper divisors (its aliquot sum) s(n): 301665600
- 106120800 is an abundant number, because the sum of its proper divisors (301665600) is greater than itself. Its abundance is 195544800
Bases of 106120800
- Binary: 1100101001101000110011000002
- Hexadecimal: 0x6534660
- Base-36: 1R6JC0
Squares and roots of 106120800
- 106120800 squared (1061208002) is 11261624192640000
- 106120800 cubed (1061208003) is 1195092568622310912000000
-
The
square root of 106120800 is 10301.4950371293 -
The
cube root of 106120800 is 473.4420610285
Scales and comparisons
How big is 106120800?- 106,120,800 seconds is equal to 3 years, 19 weeks, 3 days, 6 hours.
-
To count from 1 to 106,120,800 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 106120800 cubic inches would be around 39.5 feet tall.
Recreational maths with 106120800
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