10424400
10,424,400 is an even composite number composed of six prime numbers multiplied together.
10424400 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 10424400:
24 × 3 × 52 × 7 × 17 × 73
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 73)See below for interesting mathematical facts about the number 10424400 from the Numbermatics database.
Names of 10424400
- Cardinal: 10424400 can be written as Ten million, four hundred twenty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.04244 × 107
Factors of 10424400
Divisors of 10424400
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 34 35 40 42 48 50 51 56 60 68 70 73 75 80 84 85 100 102 105 112 119 120 136 140 146 150 168 170 175 200 204 210 219 238 240 255 272 280 292 300 336 340 350 357 365 400 408 420 425 438 476 510 511 525 560 584 595 600 680 700 714 730 816 840 850 876 952 1020 1022 1050 1095 1168 1190 1200 1241 1275 1360 1400 1428 1460 1533 1680 1700 1752 1785 1825 1904 2040 2044 2100 2190 2380 2482 2550 2555 2800 2856 2920 2975 3066 3400 3504 3570 3650 3723 4080 4088 4200 4380 4760 4964 5100 5110 5475 5712 5840 5950 6132 6205 6800 7140 7300 7446 7665 8176 8400 8687 8760 8925 9520 9928 10200 10220 10950 11900 12264 12410 12775 14280 14600 14892 15330 17374 17520 17850 18615 19856 20400 20440 21900 23800 24528 24820 25550 26061 28560 29200 29784 30660 31025 34748 35700 37230 38325 40880 43435 43800 47600 49640 51100 52122 59568 61320 62050 69496 71400 74460 76650 86870 87600 93075 99280 102200 104244 122640 124100 130305 138992 142800 148920 153300 173740 186150 204400 208488 217175 248200 260610 297840 306600 347480 372300 416976 434350 496400 521220 613200 651525 694960 744600 868700 1042440 1303050 1489200 1737400 2084880 2606100 3474800 5212200 10424400
- Sum of all divisors σ(n): 40961664
- Sum of proper divisors (its aliquot sum) s(n): 30537264
- 10424400 is an abundant number, because the sum of its proper divisors (30537264) is greater than itself. Its abundance is 20112864
Bases of 10424400
- Binary: 1001111100010000010100002
- Hexadecimal: 0x9F1050
- Base-36: 67FIO
Squares and roots of 10424400
- 10424400 squared (104244002) is 108668115360000
- 10424400 cubed (104244003) is 1132799901758784000000
-
The
square root of 10424400 is 3228.6839424137 -
The
cube root of 10424400 is 218.4491483265
Scales and comparisons
How big is 10424400?- 10,424,400 seconds is equal to 17 weeks, 1 day, 15 hours, 40 minutes.
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To count from 1 to 10,424,400 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 10424400 cubic inches would be around 18.2 feet tall.
Recreational maths with 10424400
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