106801200
106,801,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 106801200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
106801200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 106801200:
24 × 33 × 52 × 11 × 29 × 31
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 29 × 31)See below for interesting mathematical facts about the number 106801200 from the Numbermatics database.
Names of 106801200
- Cardinal: 106801200 can be written as One hundred six million, eight hundred one thousand, two hundred.
Scientific notation
- Scientific notation: 1.068012 × 108
Factors of 106801200
Divisors of 106801200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 31 33 36 40 44 45 48 50 54 55 58 60 62 66 72 75 80 87 88 90 93 99 100 108 110 116 120 124 132 135 144 145 150 155 165 174 176 180 186 198 200 216 220 225 232 240 248 261 264 270 275 279 290 297 300 310 319 330 341 348 360 372 396 400 432 435 440 450 464 465 495 496 522 528 540 550 558 580 594 600 620 638 660 675 682 696 720 725 744 775 783 792 825 837 870 880 899 900 930 957 990 1023 1044 1080 1100 1116 1160 1188 1200 1240 1276 1305 1320 1350 1364 1392 1395 1450 1485 1488 1550 1566 1584 1595 1650 1674 1705 1740 1798 1800 1860 1914 1980 2046 2088 2160 2175 2200 2232 2320 2325 2376 2475 2480 2552 2610 2640 2697 2700 2728 2790 2871 2900 2970 3069 3100 3132 3190 3300 3348 3410 3480 3596 3600 3720 3828 3915 3960 4092 4176 4185 4350 4400 4464 4495 4650 4752 4785 4950 5104 5115 5220 5394 5400 5456 5580 5742 5800 5940 6138 6200 6264 6380 6525 6600 6696 6820 6960 6975 7192 7425 7440 7656 7830 7920 7975 8091 8184 8370 8525 8613 8700 8990 9207 9300 9570 9889 9900 10230 10440 10788 10800 11160 11484 11600 11880 12276 12400 12528 12760 13050 13200 13392 13485 13640 13950 14355 14384 14850 15312 15345 15660 15950 16182 16368 16740 17050 17226 17400 17980 18414 18600 19140 19575 19778 19800 20460 20880 20925 21576 22320 22475 22968 23760 23925 24273 24552 25520 25575 26100 26970 27280 27900 28710 29667 29700 30690 31320 31900 32364 33480 34100 34452 34800 35960 36828 37200 38280 39150 39556 39600 40455 40920 41850 43065 43152 44950 45936 46035 47850 48546 49104 49445 51150 52200 53940 55800 57420 59334 59400 61380 62640 63800 64728 66960 67425 68200 68904 71775 71920 73656 76560 76725 78300 79112 80910 81840 83700 86130 89001 89900 92070 95700 97092 98890 102300 104400 107880 111600 114840 118668 118800 121365 122760 127600 129456 134850 136400 137808 143550 147312 148335 153450 156600 158224 161820 167400 172260 178002 179800 184140 191400 194184 197780 202275 204600 215325 215760 229680 230175 237336 242730 245520 247225 267003 269700 287100 296670 306900 313200 323640 334800 344520 356004 359600 368280 382800 388368 395560 404550 409200 430650 445005 460350 474672 485460 494450 534006 539400 574200 593340 606825 613800 647280 689040 712008 736560 741675 791120 809100 861300 890010 920700 970920 988900 1068012 1078800 1148400 1186680 1213650 1227600 1335015 1424016 1483350 1618200 1722600 1780020 1841400 1941840 1977800 2136024 2225025 2373360 2427300 2670030 2966700 3236400 3445200 3560040 3682800 3955600 4272048 4450050 4854600 5340060 5933400 6675075 7120080 8900100 9709200 10680120 11866800 13350150 17800200 21360240 26700300 35600400 53400600 106801200
- Sum of all divisors σ(n): 442828800
- Sum of proper divisors (its aliquot sum) s(n): 336027600
- 106801200 is an abundant number, because the sum of its proper divisors (336027600) is greater than itself. Its abundance is 229226400
Bases of 106801200
- Binary: 1100101110110101000001100002
- Hexadecimal: 0x65DA830
- Base-36: 1RL4C0
Squares and roots of 106801200
- 106801200 squared (1068012002) is 11406496321440000
- 106801200 cubed (1068012003) is 1218227494925377728000000
-
The
square root of 106801200 is 10334.4666045229 -
The
cube root of 106801200 is 474.4517404633
Scales and comparisons
How big is 106801200?- 106,801,200 seconds is equal to 3 years, 20 weeks, 4 days, 3 hours.
-
To count from 1 to 106,801,200 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 106801200 cubic inches would be around 39.5 feet tall.
Recreational maths with 106801200
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