10468080
10,468,080 is an even composite number composed of six prime numbers multiplied together.
10468080 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 10468080:
24 × 32 × 5 × 7 × 31 × 67
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 31 × 67)See below for interesting mathematical facts about the number 10468080 from the Numbermatics database.
Names of 10468080
- Cardinal: 10468080 can be written as Ten million, four hundred sixty-eight thousand and eighty.
Scientific notation
- Scientific notation: 1.046808 × 107
Factors of 10468080
Divisors of 10468080
- Number of divisors d(n): 240
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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 67 70 72 80 84 90 93 105 112 120 124 126 134 140 144 155 168 180 186 201 210 217 240 248 252 268 279 280 310 315 335 336 360 372 402 420 434 465 469 496 504 536 558 560 603 620 630 651 670 720 744 804 840 868 930 938 1005 1008 1072 1085 1116 1206 1240 1260 1302 1340 1395 1407 1488 1608 1680 1736 1860 1876 1953 2010 2077 2170 2232 2345 2412 2480 2520 2604 2680 2790 2814 3015 3216 3255 3472 3720 3752 3906 4020 4154 4221 4340 4464 4690 4824 5040 5208 5360 5580 5628 6030 6231 6510 7035 7440 7504 7812 8040 8308 8442 8680 9380 9648 9765 10385 10416 11160 11256 12060 12462 13020 14070 14539 15624 16080 16616 16884 17360 18693 18760 19530 20770 21105 22320 22512 24120 24924 26040 28140 29078 31155 31248 33232 33768 37386 37520 39060 41540 42210 43617 48240 49848 52080 56280 58156 62310 67536 72695 74772 78120 83080 84420 87234 93465 99696 112560 116312 124620 130851 145390 149544 156240 166160 168840 174468 186930 218085 232624 249240 261702 290780 299088 337680 348936 373860 436170 498480 523404 581560 654255 697872 747720 872340 1046808 1163120 1308510 1495440 1744680 2093616 2617020 3489360 5234040 10468080
- Sum of all divisors σ(n): 42092544
- Sum of proper divisors (its aliquot sum) s(n): 31624464
- 10468080 is an abundant number, because the sum of its proper divisors (31624464) is greater than itself. Its abundance is 21156384
Bases of 10468080
- Binary: 1001111110111010111100002
- Hexadecimal: 0x9FBAF0
- Base-36: 68D80
Squares and roots of 10468080
- 10468080 squared (104680802) is 109580698886400
- 10468080 cubed (104680803) is 1147099522398746112000
-
The
square root of 10468080 is 3235.4412372965 -
The
cube root of 10468080 is 218.7538361233
Scales and comparisons
How big is 10468080?- 10,468,080 seconds is equal to 17 weeks, 2 days, 3 hours, 48 minutes.
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To count from 1 to 10,468,080 would take you about twenty-five weeks!
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 10468080 cubic inches would be around 18.2 feet tall.
Recreational maths with 10468080
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