130684320
130,684,320 is an even composite number composed of five prime numbers multiplied together.
130684320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 130684320:
25 × 33 × 5 × 132 × 179
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 179)See below for interesting mathematical facts about the number 130684320 from the Numbermatics database.
Names of 130684320
- Cardinal: 130684320 can be written as One hundred thirty million, six hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3068432 × 108
Factors of 130684320
Divisors of 130684320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 72 78 80 90 96 104 108 117 120 130 135 144 156 160 169 179 180 195 208 216 234 240 260 270 288 312 338 351 358 360 390 416 432 468 480 507 520 537 540 585 624 676 702 716 720 780 845 864 895 936 1014 1040 1074 1080 1170 1248 1352 1404 1432 1440 1521 1560 1611 1690 1755 1790 1872 2028 2080 2148 2160 2327 2340 2535 2685 2704 2808 2864 3042 3120 3222 3380 3510 3580 3744 4056 4296 4320 4563 4654 4680 4833 5070 5370 5408 5616 5728 6084 6240 6444 6760 6981 7020 7160 7605 8055 8112 8592 9126 9308 9360 9666 10140 10740 11232 11635 12168 12888 13520 13962 14040 14320 15210 16110 16224 17184 18252 18616 18720 19332 20280 20943 21480 22815 23270 24165 24336 25776 27040 27924 28080 28640 30251 30420 32220 34905 36504 37232 38664 40560 41886 42960 45630 46540 48330 48672 51552 55848 56160 60502 60840 62829 64440 69810 73008 74464 77328 81120 83772 85920 90753 91260 93080 96660 104715 111696 121004 121680 125658 128880 139620 146016 151255 154656 167544 181506 182520 186160 193320 209430 223392 242008 243360 251316 257760 272259 279240 302510 314145 335088 363012 365040 372320 386640 418860 453765 484016 502632 544518 558480 605020 628290 670176 726024 730080 773280 816777 837720 907530 968032 1005264 1089036 1116960 1210040 1256580 1361295 1452048 1633554 1675440 1815060 2010528 2178072 2420080 2513160 2722590 2904096 3267108 3350880 3630120 4083885 4356144 4840160 5026320 5445180 6534216 7260240 8167770 8712288 10052640 10890360 13068432 14520480 16335540 21780720 26136864 32671080 43561440 65342160 130684320
- Sum of all divisors σ(n): 498052800
- Sum of proper divisors (its aliquot sum) s(n): 367368480
- 130684320 is an abundant number, because the sum of its proper divisors (367368480) is greater than itself. Its abundance is 236684160
Bases of 130684320
- Binary: 1111100101000010101101000002
- Hexadecimal: 0x7CA15A0
- Base-36: 25T0O0
Squares and roots of 130684320
- 130684320 squared (1306843202) is 17078391493862400
- 130684320 cubed (1306843203) is 2231877979069191917568000
-
The
square root of 130684320 is 11431.7242793903 -
The
cube root of 130684320 is 507.4670252869
Scales and comparisons
How big is 130684320?- 130,684,320 seconds is equal to 4 years, 8 weeks, 13 hours, 12 minutes.
-
To count from 1 to 130,684,320 would take you about six 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 130684320 cubic inches would be around 42.3 feet tall.
Recreational maths with 130684320
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