105149520
105,149,520 is an even composite number composed of six prime numbers multiplied together.
105149520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 105149520:
24 × 32 × 5 × 7 × 31 × 673
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 31 × 673)See below for interesting mathematical facts about the number 105149520 from the Numbermatics database.
Names of 105149520
- Cardinal: 105149520 can be written as One hundred five million, one hundred forty-nine thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.0514952 × 108
Factors of 105149520
Divisors of 105149520
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 35 36 40 42 45 48 56 60 62 63 70 72 80 84 90 93 105 112 120 124 126 140 144 155 168 180 186 210 217 240 248 252 279 280 310 315 336 360 372 420 434 465 496 504 558 560 620 630 651 673 720 744 840 868 930 1008 1085 1116 1240 1260 1302 1346 1395 1488 1680 1736 1860 1953 2019 2170 2232 2480 2520 2604 2692 2790 3255 3365 3472 3720 3906 4038 4340 4464 4711 5040 5208 5384 5580 6057 6510 6730 7440 7812 8076 8680 9422 9765 10095 10416 10768 11160 12114 13020 13460 14133 15624 16152 17360 18844 19530 20190 20863 22320 23555 24228 26040 26920 28266 30285 31248 32304 37688 39060 40380 41726 42399 47110 48456 52080 53840 56532 60570 62589 70665 75376 78120 80760 83452 84798 94220 96912 104315 113064 121140 125178 141330 146041 156240 161520 166904 169596 187767 188440 208630 211995 226128 242280 250356 282660 292082 312945 333808 339192 375534 376880 417260 423990 438123 484560 500712 565320 584164 625890 678384 730205 751068 834520 847980 876246 938835 1001424 1130640 1168328 1251780 1314369 1460410 1502136 1669040 1695960 1752492 1877670 2190615 2336656 2503560 2628738 2920820 3004272 3391920 3504984 3755340 4381230 5007120 5257476 5841640 6571845 7009968 7510680 8762460 10514952 11683280 13143690 15021360 17524920 21029904 26287380 35049840 52574760 105149520
- Sum of all divisors σ(n): 417211392
- Sum of proper divisors (its aliquot sum) s(n): 312061872
- 105149520 is an abundant number, because the sum of its proper divisors (312061872) is greater than itself. Its abundance is 206912352
Bases of 105149520
- Binary: 1100100010001110100010100002
- Hexadecimal: 0x6447450
- Base-36: 1QLPW0
Squares and roots of 105149520
- 105149520 squared (1051495202) is 11056421556230400
- 105149520 cubed (1051495203) is 1162577419555279569408000
-
The
square root of 105149520 is 10254.2439994375 -
The
cube root of 105149520 is 471.9932250297
Scales and comparisons
How big is 105149520?- 105,149,520 seconds is equal to 3 years, 17 weeks, 6 days, 12 minutes.
-
To count from 1 to 105,149,520 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 105149520 cubic inches would be around 39.3 feet tall.
Recreational maths with 105149520
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