120908970
120,908,970 is an even composite number composed of seven prime numbers multiplied together.
120908970 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 120908970:
2 × 33 × 5 × 72 × 13 × 19 × 37
(2 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 19 × 37)See below for interesting mathematical facts about the number 120908970 from the Numbermatics database.
Names of 120908970
- Cardinal: 120908970 can be written as One hundred twenty million, nine hundred eight thousand, nine hundred seventy.
Scientific notation
- Scientific notation: 1.2090897 × 108
Factors of 120908970
Divisors of 120908970
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 19 21 26 27 30 35 37 38 39 42 45 49 54 57 63 65 70 74 78 90 91 95 98 105 111 114 117 126 130 133 135 147 171 182 185 189 190 195 210 222 234 245 247 259 266 270 273 285 294 315 333 342 351 370 378 390 399 441 455 481 490 494 513 518 546 555 570 585 630 637 665 666 702 703 735 741 777 798 819 855 882 910 931 945 962 999 1026 1110 1170 1197 1235 1274 1295 1323 1330 1365 1406 1443 1470 1482 1554 1638 1665 1710 1729 1755 1813 1862 1890 1911 1995 1998 2109 2205 2223 2331 2394 2405 2457 2470 2565 2590 2646 2730 2793 2886 3185 3330 3367 3458 3510 3515 3591 3626 3705 3822 3885 3990 4095 4218 4329 4410 4446 4655 4662 4810 4914 4921 4995 5130 5187 5439 5586 5733 5985 6327 6370 6615 6669 6734 6993 7030 7182 7215 7410 7770 8190 8379 8645 8658 9065 9139 9310 9555 9842 9990 10101 10374 10545 10878 11115 11466 11655 11970 12103 12285 12654 12987 13230 13338 13965 13986 14430 14763 15561 16317 16758 16835 17199 17290 17955 18130 18278 18981 19110 20202 21090 21645 22230 23310 23569 24206 24570 24605 25137 25935 25974 27195 27417 27930 28665 29526 30303 31122 31635 32634 33345 33670 34398 34447 34965 35910 36309 37962 41895 43290 44289 45695 46683 47138 48951 49210 50274 50505 51870 54390 54834 57330 60515 60606 63270 63973 64935 66690 68894 69930 70707 72618 73815 77805 81585 82251 83790 85995 88578 90909 91390 93366 94905 97902 101010 103341 108927 117845 121030 125685 127946 129870 132867 137085 141414 147630 151515 155610 163170 164502 171990 172235 181545 181818 189810 191919 206682 212121 217854 221445 233415 235690 244755 246753 251370 265734 274170 303030 310023 319865 326781 344470 353535 363090 383838 411255 424242 442890 447811 454545 466830 489510 493506 516705 544635 575757 620046 636363 639730 653562 664335 707070 822510 895622 909090 930069 959595 1033410 1060605 1089270 1151514 1233765 1272726 1328670 1343433 1550115 1633905 1727271 1860138 1919190 2121210 2239055 2467530 2686866 2878785 3100230 3181815 3267810 3454542 4030299 4478110 4650345 5757570 6363630 6717165 8060598 8636355 9300690 12090897 13434330 17272710 20151495 24181794 40302990 60454485 120908970
- Sum of all divisors σ(n): 436665600
- Sum of proper divisors (its aliquot sum) s(n): 315756630
- 120908970 is an abundant number, because the sum of its proper divisors (315756630) is greater than itself. Its abundance is 194847660
Bases of 120908970
- Binary: 1110011010011101100101010102
- Hexadecimal: 0x734ECAA
- Base-36: 1ZZHYI
Squares and roots of 120908970
- 120908970 squared (1209089702) is 14618979026460900
- 120908970 cubed (1209089703) is 1767565696540990164273000
-
The
square root of 120908970 is 10995.8614942169 -
The
cube root of 120908970 is 494.4846795053
Scales and comparisons
How big is 120908970?- 120,908,970 seconds is equal to 3 years, 43 weeks, 6 days, 9 hours, 49 minutes, 30 seconds.
-
To count from 1 to 120,908,970 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 120908970 cubic inches would be around 41.2 feet tall.
Recreational maths with 120908970
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