213940800
213,940,800 is an even composite number composed of five prime numbers multiplied together.
213940800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 213940800:
26 × 32 × 52 × 83 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 83 × 179)See below for interesting mathematical facts about the number 213940800 from the Numbermatics database.
Names of 213940800
- Cardinal: 213940800 can be written as Two hundred thirteen million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 2.139408 × 108
Factors of 213940800
Divisors of 213940800
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 83 90 96 100 120 144 150 160 166 179 180 192 200 225 240 249 288 300 320 332 358 360 400 415 450 480 498 537 576 600 664 716 720 747 800 830 895 900 960 996 1074 1200 1245 1328 1432 1440 1494 1600 1611 1660 1790 1800 1992 2075 2148 2400 2490 2656 2685 2864 2880 2988 3222 3320 3580 3600 3735 3984 4150 4296 4475 4800 4980 5312 5370 5728 5976 6225 6444 6640 7160 7200 7470 7968 8055 8300 8592 8950 9960 10740 11456 11952 12450 12888 13280 13425 14320 14400 14857 14940 15936 16110 16600 17184 17900 18675 19920 21480 23904 24900 25776 26560 26850 28640 29714 29880 32220 33200 34368 35800 37350 39840 40275 42960 44571 47808 49800 51552 53700 57280 59428 59760 64440 66400 71600 74285 74700 79680 80550 85920 89142 99600 103104 107400 118856 119520 128880 132800 133713 143200 148570 149400 161100 171840 178284 199200 214800 222855 237712 239040 257760 267426 286400 297140 298800 322200 356568 371425 398400 429600 445710 475424 515520 534852 594280 597600 644400 668565 713136 742850 859200 891420 950848 1069704 1114275 1188560 1195200 1288800 1337130 1426272 1485700 1782840 2139408 2228550 2377120 2577600 2674260 2852544 2971400 3342825 3565680 4278816 4457100 4754240 5348520 5942800 6685650 7131360 8557632 8914200 10697040 11885600 13371300 14262720 17828400 21394080 23771200 26742600 35656800 42788160 53485200 71313600 106970400 213940800
- Sum of all divisors σ(n): 773856720
- Sum of proper divisors (its aliquot sum) s(n): 559915920
- 213940800 is an abundant number, because the sum of its proper divisors (559915920) is greater than itself. Its abundance is 345975120
Bases of 213940800
- Binary: 11001100000001111010010000002
- Hexadecimal: 0xCC07A40
- Base-36: 3JDHS0
Squares and roots of 213940800
- 213940800 squared (2139408002) is 45770665904640000
- 213940800 cubed (2139408003) is 9792212880171405312000000
-
The
square root of 213940800 is 14626.7152840275 -
The
cube root of 213940800 is 598.0872420749
Scales and comparisons
How big is 213940800?- 213,940,800 seconds is equal to 6 years, 41 weeks, 5 days, 4 hours.
-
To count from 1 to 213,940,800 would take you about ten 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 213940800 cubic inches would be around 49.8 feet tall.
Recreational maths with 213940800
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