82080

82080 is a six-digit number. In standard decimal representation, it is read as eighty-two thousand and eighty. It falls between 82079 and 82081.

The number 82080 has several mathematical properties. It is an even number, divisible by 2. Its prime factorization is 2^4 5 1026, which simplifies to 2^5 5 513. Further factorization reveals 2^5 3^3 5 19. This indicates it is a composite number.

In number theory, 82080 is a highly composite number, meaning it has more divisors than any smaller positive integer. The divisors of 82080 include 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 30, 32, 36, 38, 40, 45, 48, 57, 60, 64, 72, 76, 80, 90, 95, 96, 114, 120, 128, 133, 144, 152, 171, 180, 190, 192, 200, 210, 228, 240, 252, 270, 285, 288, 304, 320, 342, 360, 376, 380, 384, 432, 456, 475, 480, 513, 570, 608, 640, 684, 720, 750, 760, 816, 855, 912, 960, 1026, 1140, 1176, 1216, 1280, 1330, 1368, 1400, 1440, 1520, 1539, 1632, 1710, 1728, 1824, 1900, 1920, 2052, 2160, 2184, 2280, 2295, 2400, 2436, 2440, 2560, 2660, 2736, 2880, 3072, 3200, 3266, 3420, 3600, 3648, 3760, 3840, 4050, 4104, 4320, 4368, 4560, 4576, 4712, 4800, 4920, 5120, 5220, 5320, 5472, 5600, 5664, 5760, 5800, 5920, 6144, 6400, 6532, 6840, 7020, 7128, 7200, 7300, 7424, 7600, 7680, 7776, 8160, 8208, 8600, 8712, 9000, 9120, 9400, 9520, 9600, 9720, 10240, 10440, 10640, 10800, 11000, 11328, 11400, 11600, 11760, 11970, 12000, 12288, 12480, 12800, 13064, 13680, 13984, 14040, 14176, 14400, 14600, 14800, 15104, 15200, 15400, 15552, 16000, 16416, 16800, 17000, 17280, 17400, 17800, 18000, 18240, 18400, 18720, 19000, 19200, 19440, 19600, 19648, 20000, 20480, 20880, 21000, 21328, 21600, 21840, 22000, 22656, 22800, 23000, 23520, 23968, 24000, 24360, 24500, 24640, 24960, 25600, 26128, 26600, 27000, 27360, 27648, 28000, 28160, 28320, 28800, 29000, 29400, 29760, 30000, 30400, 30720, 31000, 31104, 31360, 31680, 32000, 32640, 32832, 33600, 33800, 34000, 34176, 34560, 34800, 35000, 35072, 35640, 36000, 36480, 36800, 37000, 37440, 37500, 37760, 38000, 38400, 38720, 39200, 39600, 40000, 40960, 41000, 41328, 41600, 41864, 42000, 42664, 42800, 43000, 43328, 43520, 44000, 44224, 44800, 45000, 45360, 45600, 45760, 46000, 46400, 46720, 47000, 47488, 48000, 48720, 48800, 49000, 49408, 49600, 50000, 50176, 50400, 50600, 51200, 51300, 51424, 51600, 51800, 52000, 52320, 52800, 53000, 53248, 53760, 54000, 54080, 54600, 55000, 55344, 55680, 56000, 56320, 56640, 57000, 57600, 57920, 58000, 58240, 58800, 59000, 59520, 59904, 60000, 60800, 61440, 61600, 62000, 62464, 62800, 63000, 63360, 63600, 64000, 64240, 64480, 64640, 65000, 65280, 65600, 65800, 66000, 66432, 66800, 67000, 67200, 67600, 67840, 68000, 68400, 68480, 68800, 69000, 69120, 69440, 70000, 70400, 70800, 71000, 71680, 72000, 72400, 72800, 72960, 73000, 73600, 73920, 74000, 74664, 75000, 75200, 75520, 76000, 76160, 76400, 76800, 77000, 77440, 77600, 78000, 78080, 78400, 78720, 79000, 79360, 79800, 80000, 80960, 81000, 81280, 81600, 81920, 82000, 82080. This large number of divisors contributes to its classification.

The context for the number 82080 can vary. It might appear as a value in scientific data, a numerical identifier, or within computational processes. Without a specific domain or application, its significance is purely mathematical.