120225600
120,225,600 is an even composite number composed of five prime numbers multiplied together.
120225600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 120225600:
26 × 33 × 52 × 112 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 23)See below for interesting mathematical facts about the number 120225600 from the Numbermatics database.
Names of 120225600
- Cardinal: 120225600 can be written as One hundred twenty million, two hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.202256 × 108
Factors of 120225600
Divisors of 120225600
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 32 33 36 40 44 45 46 48 50 54 55 60 64 66 69 72 75 80 88 90 92 96 99 100 108 110 115 120 121 132 135 138 144 150 160 165 176 180 184 192 198 200 207 216 220 225 230 240 242 253 264 270 275 276 288 297 300 320 330 345 352 360 363 368 396 400 414 432 440 450 460 480 484 495 506 528 540 550 552 575 576 594 600 605 621 660 675 690 704 720 726 736 759 792 800 825 828 864 880 900 920 960 968 990 1012 1035 1056 1080 1089 1100 1104 1150 1188 1200 1210 1242 1265 1320 1350 1380 1440 1452 1472 1485 1518 1584 1600 1650 1656 1725 1728 1760 1800 1815 1840 1936 1980 2024 2070 2112 2160 2178 2200 2208 2277 2300 2376 2400 2420 2475 2484 2530 2640 2700 2760 2783 2880 2904 2970 3025 3036 3105 3168 3267 3300 3312 3450 3520 3600 3630 3680 3795 3872 3960 4048 4140 4320 4356 4400 4416 4554 4600 4752 4800 4840 4950 4968 5060 5175 5280 5400 5445 5520 5566 5808 5940 6050 6072 6210 6325 6336 6534 6600 6624 6831 6900 7200 7260 7360 7425 7590 7744 7920 8096 8280 8349 8640 8712 8800 9075 9108 9200 9504 9680 9900 9936 10120 10350 10560 10800 10890 11040 11132 11385 11616 11880 12100 12144 12420 12650 13068 13200 13248 13662 13800 13915 14400 14520 14850 15180 15525 15840 16192 16335 16560 16698 17424 17600 18150 18216 18400 18975 19008 19360 19800 19872 20240 20700 21600 21780 22080 22264 22770 23232 23760 24200 24288 24840 25047 25300 26136 26400 27225 27324 27600 27830 29040 29700 30360 31050 31680 32670 33120 33396 34155 34848 36300 36432 36800 37950 38720 39600 39744 40480 41400 41745 43200 43560 44528 45540 47520 48400 48576 49680 50094 50600 52272 52800 54450 54648 55200 55660 56925 58080 59400 60720 62100 65340 66240 66792 68310 69575 69696 72600 72864 75141 75900 79200 80960 81675 82800 83490 87120 89056 91080 95040 96800 99360 100188 101200 104544 108900 109296 110400 111320 113850 116160 118800 121440 124200 125235 130680 133584 136620 139150 145200 145728 150282 151800 158400 163350 165600 166980 170775 174240 178112 182160 193600 198720 200376 202400 208725 209088 217800 218592 222640 227700 237600 242880 248400 250470 261360 267168 273240 278300 290400 300564 303600 326700 331200 333960 341550 348480 364320 375705 400752 404800 417450 435600 437184 445280 455400 475200 496800 500940 522720 534336 546480 556600 580800 601128 607200 626175 653400 667920 683100 728640 751410 801504 834900 871200 890560 910800 993600 1001880 1045440 1092960 1113200 1202256 1214400 1252350 1306800 1335840 1366200 1502820 1603008 1669800 1742400 1821600 1878525 2003760 2185920 2226400 2404512 2504700 2613600 2671680 2732400 3005640 3339600 3643200 3757050 4007520 4452800 4809024 5009400 5227200 5464800 6011280 6679200 7514100 8015040 10018800 10929600 12022560 13358400 15028200 20037600 24045120 30056400 40075200 60112800 120225600
- Sum of all divisors σ(n): 502676160
- Sum of proper divisors (its aliquot sum) s(n): 382450560
- 120225600 is an abundant number, because the sum of its proper divisors (382450560) is greater than itself. Its abundance is 262224960
Bases of 120225600
- Binary: 1110010101001111111010000002
- Hexadecimal: 0x72A7F40
- Base-36: 1ZKUO0
Squares and roots of 120225600
- 120225600 squared (1202256002) is 14454194895360000
- 120225600 cubed (1202256003) is 1737764253811593216000000
-
The
square root of 120225600 is 10964.7434990519 -
The
cube root of 120225600 is 493.5513199463
Scales and comparisons
How big is 120225600?- 120,225,600 seconds is equal to 3 years, 42 weeks, 5 days, 12 hours.
-
To count from 1 to 120,225,600 would take you about five 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 120225600 cubic inches would be around 41.1 feet tall.
Recreational maths with 120225600
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