68032640
68,032,640 is an even composite number composed of five prime numbers multiplied together.
68032640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 68032640:
27 × 5 × 132 × 17 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 37)See below for interesting mathematical facts about the number 68032640 from the Numbermatics database.
Names of 68032640
- Cardinal: 68032640 can be written as Sixty-eight million, thirty-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 6.803264 × 107
Factors of 68032640
Divisors of 68032640
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 32 34 37 40 52 64 65 68 74 80 85 104 128 130 136 148 160 169 170 185 208 221 260 272 296 320 338 340 370 416 442 481 520 544 592 629 640 676 680 740 832 845 884 962 1040 1088 1105 1184 1258 1352 1360 1480 1664 1690 1768 1924 2080 2176 2210 2368 2405 2516 2704 2720 2873 2960 3145 3380 3536 3848 4160 4420 4736 4810 5032 5408 5440 5746 5920 6253 6290 6760 7072 7696 8177 8320 8840 9620 10064 10816 10880 11492 11840 12506 12580 13520 14144 14365 15392 16354 17680 19240 20128 21632 22984 23680 25012 25160 27040 28288 28730 30784 31265 32708 35360 38480 40256 40885 45968 50024 50320 54080 57460 61568 62530 65416 70720 76960 80512 81770 91936 100048 100640 106301 108160 114920 125060 130832 141440 153920 163540 183872 200096 201280 212602 229840 250120 261664 307840 327080 367744 400192 402560 425204 459680 500240 523328 531505 654160 800384 850408 919360 1000480 1046656 1063010 1308320 1700816 1838720 2000960 2126020 2616640 3401632 4001920 4252040 5233280 6803264 8504080 13606528 17008160 34016320 68032640
- Sum of all divisors σ(n): 191513160
- Sum of proper divisors (its aliquot sum) s(n): 123480520
- 68032640 is an abundant number, because the sum of its proper divisors (123480520) is greater than itself. Its abundance is 55447880
Bases of 68032640
- Binary: 1000000111000011000100000002
- Hexadecimal: 0x40E1880
- Base-36: 14I6BK
Squares and roots of 68032640
- 68032640 squared (680326402) is 4628440105369600
- 68032640 cubed (680326403) is 314884999450172063744000
-
The
square root of 68032640 is 8248.1901045017 -
The
cube root of 68032640 is 408.2308062271
Scales and comparisons
How big is 68032640?- 68,032,640 seconds is equal to 2 years, 8 weeks, 3 days, 9 hours, 57 minutes, 20 seconds.
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To count from 1 to 68,032,640 would take you about three 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 68032640 cubic inches would be around 34 feet tall.
Recreational maths with 68032640
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