106048800
106,048,800 is an even composite number composed of six prime numbers multiplied together.
106048800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 106048800:
25 × 32 × 52 × 11 × 13 × 103
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 13 × 103)See below for interesting mathematical facts about the number 106048800 from the Numbermatics database.
Names of 106048800
- Cardinal: 106048800 can be written as One hundred six million, forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.060488 × 108
Factors of 106048800
Divisors of 106048800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 65 66 72 75 78 80 88 90 96 99 100 103 104 110 117 120 130 132 143 144 150 156 160 165 176 180 195 198 200 206 208 220 225 234 240 260 264 275 286 288 300 309 312 325 330 352 360 390 396 400 412 416 429 440 450 468 480 495 515 520 528 550 572 585 600 618 624 650 660 715 720 780 792 800 824 825 858 880 900 927 936 975 990 1030 1040 1056 1100 1133 1144 1170 1200 1236 1248 1287 1300 1320 1339 1430 1440 1545 1560 1584 1648 1650 1716 1760 1800 1854 1872 1950 1980 2060 2080 2145 2200 2266 2288 2340 2400 2472 2475 2574 2575 2600 2640 2678 2860 2925 3090 3120 3168 3296 3300 3399 3432 3575 3600 3708 3744 3900 3960 4017 4120 4290 4400 4532 4576 4635 4680 4944 4950 5148 5150 5200 5280 5356 5665 5720 5850 6180 6240 6435 6600 6695 6798 6864 7150 7200 7416 7725 7800 7920 8034 8240 8580 8800 9064 9270 9360 9888 9900 10197 10296 10300 10400 10712 10725 11330 11440 11700 12051 12360 12870 13200 13390 13596 13728 14300 14729 14832 15450 15600 15840 16068 16480 16995 17160 18128 18540 18720 19800 20085 20394 20592 20600 21424 21450 22660 22880 23175 23400 24102 24720 25740 26400 26780 27192 28325 28600 29458 29664 30900 31200 32136 32175 33475 33990 34320 36256 37080 39600 40170 40788 41184 41200 42848 42900 44187 45320 46350 46800 48204 49440 50985 51480 53560 54384 56650 57200 58916 60255 61800 64272 64350 66950 67980 68640 73645 74160 79200 80340 81576 82400 84975 85800 88374 90640 92700 93600 96408 100425 101970 102960 107120 108768 113300 114400 117832 120510 123600 128544 128700 132561 133900 135960 147290 148320 160680 163152 169950 171600 176748 181280 185400 192816 200850 203940 205920 214240 220935 226600 235664 241020 247200 254925 257400 265122 267800 271920 294580 301275 321360 326304 339900 343200 353496 368225 370800 385632 401700 407880 441870 453200 471328 482040 509850 514800 530244 535600 543840 589160 602550 642720 662805 679800 706992 736450 741600 803400 815760 883740 906400 964080 1019700 1029600 1060488 1071200 1104675 1178320 1205100 1325610 1359600 1413984 1472900 1606800 1631520 1767480 1928160 2039400 2120976 2209350 2356640 2410200 2651220 2719200 2945800 3213600 3314025 3534960 4078800 4241952 4418700 4820400 5302440 5891600 6628050 7069920 8157600 8837400 9640800 10604880 11783200 13256100 17674800 21209760 26512200 35349600 53024400 106048800
- Sum of all divisors σ(n): 443596608
- Sum of proper divisors (its aliquot sum) s(n): 337547808
- 106048800 is an abundant number, because the sum of its proper divisors (337547808) is greater than itself. Its abundance is 231499008
Bases of 106048800
- Binary: 1100101001000101101001000002
- Hexadecimal: 0x6522D20
- Base-36: 1R4ZS0
Squares and roots of 106048800
- 106048800 squared (1060488002) is 11246347981440000
- 106048800 cubed (1060488003) is 1192661707814134272000000
-
The
square root of 106048800 is 10297.9998057875 -
The
cube root of 106048800 is 473.3349643973
Scales and comparisons
How big is 106048800?- 106,048,800 seconds is equal to 3 years, 19 weeks, 2 days, 10 hours.
-
To count from 1 to 106,048,800 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 106048800 cubic inches would be around 39.4 feet tall.
Recreational maths with 106048800
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