132090840
132,090,840 is an even composite number composed of seven prime numbers multiplied together.
132090840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 132090840:
23 × 32 × 5 × 7 × 23 × 43 × 53
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 23 × 43 × 53)See below for interesting mathematical facts about the number 132090840 from the Numbermatics database.
Names of 132090840
- Cardinal: 132090840 can be written as One hundred thirty-two million, ninety thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3209084 × 108
Factors of 132090840
Divisors of 132090840
- 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 18 20 21 23 24 28 30 35 36 40 42 43 45 46 53 56 60 63 69 70 72 84 86 90 92 105 106 115 120 126 129 138 140 159 161 168 172 180 184 207 210 212 215 230 252 258 265 276 280 301 315 318 322 344 345 360 371 387 414 420 424 430 460 477 483 504 516 530 552 602 630 636 644 645 690 742 774 795 805 828 840 860 903 920 954 966 989 1032 1035 1060 1113 1204 1219 1260 1272 1288 1290 1380 1449 1484 1505 1548 1590 1610 1656 1720 1806 1855 1908 1932 1935 1978 2070 2120 2226 2279 2385 2408 2415 2438 2520 2580 2709 2760 2898 2967 2968 3010 3096 3180 3220 3339 3612 3657 3710 3816 3864 3870 3956 4140 4452 4515 4558 4770 4830 4876 4945 5160 5418 5565 5796 5934 6020 6095 6360 6440 6678 6837 6923 7224 7245 7314 7420 7740 7912 8280 8533 8901 8904 9030 9116 9540 9660 9752 9890 10836 10971 11130 11395 11592 11868 12040 12190 13356 13545 13674 13846 14490 14628 14835 14840 15480 15953 16695 17066 17802 18060 18232 18285 19080 19320 19780 20511 20769 21672 21942 22260 22790 23736 24380 25599 26712 27090 27348 27692 28980 29256 29670 31906 33390 34132 34185 34615 35604 36120 36570 39560 41022 41538 42665 43884 44505 44520 45580 47859 48760 51198 52417 54180 54696 54855 55384 57960 59340 62307 63812 66780 68264 68370 69230 71208 73140 76797 79765 82044 83076 85330 87768 89010 91160 95718 102396 102555 103845 104834 108360 109710 118680 124614 127624 127995 133560 136740 138460 143577 146280 153594 157251 159530 164088 166152 170660 178020 191436 204792 205110 207690 209668 219420 239295 249228 255990 262085 273480 276920 287154 307188 311535 314502 319060 341320 356040 366919 382872 383985 410220 415380 419336 438840 471753 478590 498456 511980 524170 574308 614376 623070 629004 638120 717885 733838 767970 786255 820440 830760 943506 957180 1023960 1048340 1100757 1148616 1246140 1258008 1435770 1467676 1535940 1572510 1834595 1887012 1914360 2096680 2201514 2358765 2492280 2871540 2935352 3071880 3145020 3302271 3669190 3774024 4403028 4717530 5503785 5743080 6290040 6604542 7338380 8806056 9435060 11007570 13209084 14676760 16511355 18870120 22015140 26418168 33022710 44030280 66045420 132090840
- Sum of all divisors σ(n): 533744640
- Sum of proper divisors (its aliquot sum) s(n): 401653800
- 132090840 is an abundant number, because the sum of its proper divisors (401653800) is greater than itself. Its abundance is 269562960
Bases of 132090840
- Binary: 1111101111110001011110110002
- Hexadecimal: 0x7DF8BD8
- Base-36: 26N5Y0
Squares and roots of 132090840
- 132090840 squared (1320908402) is 17447990011905600
- 132090840 cubed (1320908403) is 2304719656984220704704000
-
The
square root of 132090840 is 11493.0779167289 -
The
cube root of 132090840 is 509.2811093961
Scales and comparisons
How big is 132090840?- 132,090,840 seconds is equal to 4 years, 10 weeks, 2 days, 19 hours, 54 minutes.
-
To count from 1 to 132,090,840 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 132090840 cubic inches would be around 42.4 feet tall.
Recreational maths with 132090840
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