213948000
213,948,000 is an even composite number composed of five prime numbers multiplied together.
213948000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 213948000:
25 × 33 × 53 × 7 × 283
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 283)See below for interesting mathematical facts about the number 213948000 from the Numbermatics database.
Names of 213948000
- Cardinal: 213948000 can be written as Two hundred thirteen million, nine hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.13948 × 108
Factors of 213948000
Divisors of 213948000
- Number of divisors d(n): 384
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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 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 84 90 96 100 105 108 112 120 125 126 135 140 144 150 160 168 175 180 189 200 210 216 224 225 240 250 252 270 280 283 288 300 315 336 350 360 375 378 400 420 432 450 480 500 504 525 540 560 566 600 630 672 675 700 720 750 756 800 840 849 864 875 900 945 1000 1008 1050 1080 1120 1125 1132 1200 1260 1350 1400 1415 1440 1500 1512 1575 1680 1698 1750 1800 1890 1981 2000 2016 2100 2160 2250 2264 2400 2520 2547 2625 2700 2800 2830 3000 3024 3150 3360 3375 3396 3500 3600 3780 3962 4000 4200 4245 4320 4500 4528 4725 5040 5094 5250 5400 5600 5660 5943 6000 6048 6300 6750 6792 7000 7075 7200 7560 7641 7875 7924 8400 8490 9000 9056 9450 9905 10080 10188 10500 10800 11320 11886 12000 12600 12735 13500 13584 14000 14150 15120 15282 15750 15848 16800 16980 17829 18000 18900 19810 20376 21000 21225 21600 22640 23625 23772 25200 25470 27000 27168 28000 28300 29715 30240 30564 31500 31696 33960 35375 35658 36000 37800 38205 39620 40752 42000 42450 45280 47250 47544 49525 50400 50940 53487 54000 56600 59430 61128 63000 63392 63675 67920 70750 71316 75600 76410 79240 81504 84000 84900 89145 94500 95088 99050 101880 106125 106974 108000 113200 118860 122256 126000 127350 135840 141500 142632 148575 151200 152820 158480 169800 178290 189000 190176 191025 198100 203760 212250 213948 226400 237720 244512 247625 252000 254700 267435 283000 285264 297150 305640 316960 318375 339600 356580 378000 382050 396200 407520 424500 427896 445725 475440 495250 509400 534870 566000 570528 594300 611280 636750 679200 713160 742875 756000 764100 792400 849000 855792 891450 950880 955125 990500 1018800 1069740 1132000 1188600 1222560 1273500 1337175 1426320 1485750 1528200 1584800 1698000 1711584 1782900 1910250 1981000 2037600 2139480 2228625 2377200 2547000 2674350 2852640 2971500 3056400 3396000 3565800 3820500 3962000 4278960 4457250 4754400 5094000 5348700 5943000 6112800 6685875 7131600 7641000 7924000 8557920 8914500 10188000 10697400 11886000 13371750 14263200 15282000 17829000 21394800 23772000 26743500 30564000 35658000 42789600 53487000 71316000 106974000 213948000
- Sum of all divisors σ(n): 893168640
- Sum of proper divisors (its aliquot sum) s(n): 679220640
- 213948000 is an abundant number, because the sum of its proper divisors (679220640) is greater than itself. Its abundance is 465272640
Bases of 213948000
- Binary: 11001100000010010110011000002
- Hexadecimal: 0xCC09660
- Base-36: 3JDNC0
Squares and roots of 213948000
- 213948000 squared (2139480002) is 45773746704000000
- 213948000 cubed (2139480003) is 9793201559827392000000000
-
The
square root of 213948000 is 14626.9614069361 -
The
cube root of 213948000 is 598.0939513761
Scales and comparisons
How big is 213948000?- 213,948,000 seconds is equal to 6 years, 41 weeks, 5 days, 6 hours.
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To count from 1 to 213,948,000 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 213948000 cubic inches would be around 49.8 feet tall.
Recreational maths with 213948000
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