130908960
130,908,960 is an even composite number composed of six prime numbers multiplied together.
130908960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 130908960:
25 × 35 × 5 × 7 × 13 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 37)See below for interesting mathematical facts about the number 130908960 from the Numbermatics database.
Names of 130908960
- Cardinal: 130908960 can be written as One hundred thirty million, nine hundred eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3090896 × 108
Factors of 130908960
Divisors of 130908960
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 37 39 40 42 45 48 52 54 56 60 63 65 70 72 74 78 80 81 84 90 91 96 104 105 108 111 112 117 120 126 130 135 140 144 148 156 160 162 168 180 182 185 189 195 208 210 216 222 224 234 240 243 252 259 260 270 273 280 288 296 312 315 324 333 336 351 360 364 370 378 390 405 416 420 432 444 455 468 480 481 486 504 518 520 540 546 555 560 567 585 592 624 630 648 666 672 702 720 728 740 756 777 780 810 819 840 864 888 910 936 945 962 972 999 1008 1036 1040 1053 1080 1092 1110 1120 1134 1170 1184 1215 1248 1260 1295 1296 1332 1365 1404 1440 1443 1456 1480 1512 1554 1560 1620 1638 1665 1680 1701 1755 1776 1820 1872 1890 1924 1944 1998 2016 2072 2080 2106 2160 2184 2220 2268 2331 2340 2405 2430 2457 2520 2590 2592 2664 2730 2808 2835 2886 2912 2960 2997 3024 3108 3120 3159 3240 3276 3330 3360 3367 3402 3510 3552 3640 3744 3780 3848 3885 3888 3996 4095 4144 4212 4320 4329 4368 4440 4536 4662 4680 4810 4860 4914 4995 5040 5180 5265 5328 5460 5616 5670 5772 5920 5994 6048 6216 6240 6318 6480 6552 6660 6734 6804 6993 7020 7215 7280 7371 7560 7696 7770 7776 7992 8190 8288 8424 8505 8658 8736 8880 8991 9072 9324 9360 9620 9720 9828 9990 10080 10101 10360 10530 10656 10920 11232 11340 11544 11655 11988 12285 12432 12636 12960 12987 13104 13320 13468 13608 13986 14040 14430 14560 14742 14985 15120 15392 15540 15795 15984 16380 16835 16848 17010 17316 17760 17982 18144 18648 18720 19240 19440 19656 19980 20202 20720 20979 21060 21645 21840 22113 22680 23088 23310 23976 24570 24864 25272 25974 26208 26640 26936 27216 27972 28080 28860 29484 29970 30240 30303 31080 31590 31968 32760 33670 33696 34020 34632 34965 35964 36855 37296 38480 38880 38961 39312 39960 40404 41440 41958 42120 43290 43680 44226 44955 45360 46176 46620 47952 49140 50505 50544 51948 53280 53872 54432 55944 56160 57720 58968 59940 60606 62160 62937 63180 64935 65520 67340 68040 69264 69930 71928 73710 74592 76960 77922 78624 79920 80808 83916 84240 86580 88452 89910 90720 90909 93240 95904 98280 101010 101088 103896 104895 107744 110565 111888 115440 116883 117936 119880 121212 124320 125874 126360 129870 131040 134680 136080 138528 139860 143856 147420 151515 155844 159840 161616 167832 168480 173160 176904 179820 181818 186480 194805 196560 202020 207792 209790 221130 223776 230880 233766 235872 239760 242424 251748 252720 259740 269360 272160 272727 279720 287712 294840 303030 311688 314685 323232 335664 346320 353808 359640 363636 372960 389610 393120 404040 415584 419580 442260 454545 467532 479520 484848 503496 505440 519480 538720 545454 559440 584415 589680 606060 623376 629370 671328 692640 707616 719280 727272 779220 808080 818181 839160 884520 909090 935064 969696 1006992 1038960 1090908 1118880 1168830 1179360 1212120 1246752 1258740 1363635 1438560 1454544 1558440 1616160 1636362 1678320 1769040 1818180 1870128 2013984 2077920 2181816 2337660 2424240 2517480 2727270 2909088 3116880 3272724 3356640 3538080 3636360 3740256 4090905 4363632 4675320 4848480 5034960 5454540 6233760 6545448 7272720 8181810 8727264 9350640 10069920 10909080 13090896 14545440 16363620 18701280 21818160 26181792 32727240 43636320 65454480 130908960
- Sum of all divisors σ(n): 585591552
- Sum of proper divisors (its aliquot sum) s(n): 454682592
- 130908960 is an abundant number, because the sum of its proper divisors (454682592) is greater than itself. Its abundance is 323773632
Bases of 130908960
- Binary: 1111100110110000011001000002
- Hexadecimal: 0x7CD8320
- Base-36: 25XU00
Squares and roots of 130908960
- 130908960 squared (1309089602) is 17137155808281600
- 130908960 cubed (1309089603) is 2243407244220103643136000
-
The
square root of 130908960 is 11441.5453501703 -
The
cube root of 130908960 is 507.7576292305
Scales and comparisons
How big is 130908960?- 130,908,960 seconds is equal to 4 years, 8 weeks, 3 days, 3 hours, 36 minutes.
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To count from 1 to 130,908,960 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 130908960 cubic inches would be around 42.3 feet tall.
Recreational maths with 130908960
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