135427680
135,427,680 is an even composite number composed of six prime numbers multiplied together.
135427680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135427680:
25 × 33 × 5 × 23 × 29 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 29 × 47)See below for interesting mathematical facts about the number 135427680 from the Numbermatics database.
Names of 135427680
- Cardinal: 135427680 can be written as One hundred thirty-five million, four hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3542768 × 108
Factors of 135427680
Divisors of 135427680
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 29 30 32 36 40 45 46 47 48 54 58 60 69 72 80 87 90 92 94 96 108 115 116 120 135 138 141 144 145 160 174 180 184 188 207 216 230 232 235 240 261 270 276 282 288 290 345 348 360 368 376 414 423 432 435 460 464 470 480 522 540 552 564 580 621 667 690 696 705 720 736 752 783 828 846 864 870 920 928 940 1035 1044 1080 1081 1104 1128 1160 1242 1269 1305 1334 1363 1380 1392 1410 1440 1504 1566 1656 1692 1740 1840 1880 2001 2070 2088 2115 2160 2162 2208 2256 2320 2484 2538 2610 2668 2726 2760 2784 2820 3105 3132 3243 3312 3335 3384 3480 3680 3760 3915 4002 4089 4140 4176 4230 4320 4324 4512 4640 4968 5076 5220 5336 5405 5452 5520 5640 6003 6210 6264 6345 6486 6624 6670 6768 6815 6960 7520 7830 8004 8178 8280 8352 8460 8648 9729 9936 10005 10152 10440 10672 10810 10904 11040 11280 12006 12267 12420 12528 12690 12972 13340 13536 13630 13920 15660 16008 16215 16356 16560 16920 17296 18009 19458 19872 20010 20304 20445 20880 21344 21620 21808 22560 24012 24534 24840 25056 25380 25944 26680 27260 29187 30015 31320 31349 32016 32430 32712 33120 33840 34592 36018 36801 38916 40020 40608 40890 41760 43240 43616 48024 48645 49068 49680 50760 51888 53360 54520 58374 60030 61335 62640 62698 64032 64860 65424 67680 72036 73602 77832 80040 81780 86480 90045 94047 96048 97290 98136 99360 101520 103776 106720 109040 116748 120060 122670 125280 125396 129720 130848 144072 145935 147204 155664 156745 160080 163560 172960 180090 184005 188094 192096 194580 196272 203040 218080 233496 240120 245340 250792 259440 282141 288144 291870 294408 311328 313490 320160 327120 360180 368010 376188 389160 392544 466992 470235 480240 490680 501584 518880 564282 576288 583740 588816 626980 654240 720360 736020 752376 778320 846423 933984 940470 960480 981360 1003168 1128564 1167480 1177632 1253960 1410705 1440720 1472040 1504752 1556640 1692846 1880940 1962720 2257128 2334960 2507920 2821410 2881440 2944080 3009504 3385692 3761880 4232115 4514256 4669920 5015840 5642820 5888160 6771384 7523760 8464230 9028512 11285640 13542768 15047520 16928460 22571280 27085536 33856920 45142560 67713840 135427680
- Sum of all divisors σ(n): 522547200
- Sum of proper divisors (its aliquot sum) s(n): 387119520
- 135427680 is an abundant number, because the sum of its proper divisors (387119520) is greater than itself. Its abundance is 251691840
Bases of 135427680
- Binary: 10000001001001110110011000002
- Hexadecimal: 0x8127660
- Base-36: 28MOO0
Squares and roots of 135427680
- 135427680 squared (1354276802) is 18340656510182400
- 135427680 cubed (1354276803) is 2483832560850898808832000
-
The
square root of 135427680 is 11637.3399022285 -
The
cube root of 135427680 is 513.5339333309
Scales and comparisons
How big is 135427680?- 135,427,680 seconds is equal to 4 years, 15 weeks, 6 days, 10 hours, 48 minutes.
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To count from 1 to 135,427,680 would take you about six 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 135427680 cubic inches would be around 42.8 feet tall.
Recreational maths with 135427680
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