21418320
21,418,320 is an even composite number composed of seven prime numbers multiplied together.
21418320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 21418320:
24 × 3 × 5 × 7 × 11 × 19 × 61
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 19 × 61)See below for interesting mathematical facts about the number 21418320 from the Numbermatics database.
Names of 21418320
- Cardinal: 21418320 can be written as Twenty-one million, four hundred eighteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.141832 × 107
Factors of 21418320
Divisors of 21418320
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 28 30 33 35 38 40 42 44 48 55 56 57 60 61 66 70 76 77 80 84 88 95 105 110 112 114 120 122 132 133 140 152 154 165 168 176 183 190 209 210 220 228 231 240 244 264 266 280 285 304 305 308 330 336 366 380 385 399 418 420 427 440 456 462 488 528 532 560 570 610 616 627 660 665 671 732 760 770 798 836 840 854 880 912 915 924 976 1045 1064 1140 1155 1159 1220 1232 1254 1281 1320 1330 1342 1463 1464 1520 1540 1596 1672 1680 1708 1830 1848 1995 2013 2090 2128 2135 2280 2310 2318 2440 2508 2562 2640 2660 2684 2926 2928 3080 3135 3192 3344 3355 3416 3477 3660 3696 3990 4026 4180 4270 4389 4560 4620 4636 4697 4880 5016 5124 5320 5368 5795 5852 6160 6270 6384 6405 6710 6832 6954 7315 7320 7980 8052 8113 8360 8540 8778 9240 9272 9394 10032 10065 10248 10640 10736 11590 11704 12540 12749 12810 13420 13908 14091 14630 14640 15960 16104 16226 16720 17080 17385 17556 18480 18544 18788 20130 20496 21945 23180 23408 23485 24339 25080 25498 25620 26840 27816 28182 29260 31920 32208 32452 34160 34770 35112 37576 38247 40260 40565 43890 46360 46970 48678 50160 50996 51240 53680 55632 56364 58520 63745 64904 69540 70224 70455 75152 76494 80520 81130 87780 89243 92720 93940 97356 101992 102480 112728 117040 121695 127490 129808 139080 140910 152988 161040 162260 175560 178486 187880 191235 194712 203984 225456 243390 254980 267729 278160 281820 305976 324520 351120 356972 375760 382470 389424 446215 486780 509960 535458 563640 611952 649040 713944 764940 892430 973560 1019920 1070916 1127280 1338645 1427888 1529880 1784860 1947120 2141832 2677290 3059760 3569720 4283664 5354580 7139440 10709160 21418320
- Sum of all divisors σ(n): 88565760
- Sum of proper divisors (its aliquot sum) s(n): 67147440
- 21418320 is an abundant number, because the sum of its proper divisors (67147440) is greater than itself. Its abundance is 45729120
Bases of 21418320
- Binary: 10100011011010001010100002
- Hexadecimal: 0x146D150
- Base-36: CR2HC
Squares and roots of 21418320
- 21418320 squared (214183202) is 458744431622400
- 21418320 cubed (214183203) is 9825535034706682368000
-
The
square root of 21418320 is 4627.9930855609 -
The
cube root of 21418320 is 277.7123121577
Scales and comparisons
How big is 21418320?- 21,418,320 seconds is equal to 35 weeks, 2 days, 21 hours, 32 minutes.
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To count from 1 to 21,418,320 would take you about twenty hours!
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 21418320 cubic inches would be around 23.1 feet tall.
Recreational maths with 21418320
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