83149920
83,149,920 is an even composite number composed of six prime numbers multiplied together.
83149920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 83149920:
25 × 32 × 5 × 7 × 73 × 113
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 73 × 113)See below for interesting mathematical facts about the number 83149920 from the Numbermatics database.
Names of 83149920
- Cardinal: 83149920 can be written as Eighty-three million, one hundred forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 8.314992 × 107
Factors of 83149920
Divisors of 83149920
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 73 80 84 90 96 105 112 113 120 126 140 144 146 160 168 180 210 219 224 226 240 252 280 288 292 315 336 339 360 365 420 438 452 480 504 511 560 565 584 630 657 672 678 720 730 791 840 876 904 1008 1017 1022 1095 1120 1130 1168 1260 1314 1356 1440 1460 1533 1582 1680 1695 1752 1808 2016 2034 2044 2190 2260 2336 2373 2520 2555 2628 2712 2920 3066 3164 3285 3360 3390 3504 3616 3955 4068 4088 4380 4520 4599 4746 5040 5085 5110 5256 5424 5840 6132 6328 6570 6780 7008 7119 7665 7910 8136 8176 8249 8760 9040 9198 9492 10080 10170 10220 10512 10848 11680 11865 12264 12656 13140 13560 14238 15330 15820 16272 16352 16498 17520 18080 18396 18984 20340 20440 21024 22995 23730 24528 24747 25312 26280 27120 28476 30660 31640 32544 32996 35040 35595 36792 37968 40680 40880 41245 45990 47460 49056 49494 52560 54240 56952 57743 61320 63280 65992 71190 73584 74241 75936 81360 81760 82490 91980 94920 98988 105120 113904 115486 122640 123735 126560 131984 142380 147168 148482 162720 164980 173229 183960 189840 197976 227808 230972 245280 247470 263968 284760 288715 296964 329960 346458 367920 371205 379680 395952 461944 494940 519687 569520 577430 593928 659920 692916 735840 742410 791904 866145 923888 989880 1039374 1139040 1154860 1187856 1319840 1385832 1484820 1732290 1847776 1979760 2078748 2309720 2375712 2598435 2771664 2969640 3464580 3959520 4157496 4619440 5196870 5543328 5939280 6929160 8314992 9238880 10393740 11878560 13858320 16629984 20787480 27716640 41574960 83149920
- Sum of all divisors σ(n): 331636032
- Sum of proper divisors (its aliquot sum) s(n): 248486112
- 83149920 is an abundant number, because the sum of its proper divisors (248486112) is greater than itself. Its abundance is 165336192
Bases of 83149920
- Binary: 1001111010011000100011000002
- Hexadecimal: 0x4F4C460
- Base-36: 1DI6W0
Squares and roots of 83149920
- 83149920 squared (831499202) is 6913909196006400
- 83149920 cubed (831499203) is 574890996535196479488000
-
The
square root of 83149920 is 9118.6577959697 -
The
cube root of 83149920 is 436.4695443691
Scales and comparisons
How big is 83149920?- 83,149,920 seconds is equal to 2 years, 33 weeks, 3 days, 9 hours, 12 minutes.
-
To count from 1 to 83,149,920 would take you about three 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 83149920 cubic inches would be around 36.4 feet tall.
Recreational maths with 83149920
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