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2075971320 = 2332517339211
BaseRepresentation
bin111101110111100…
…1100111011111000
312100200022021021200
41323233030323320
513222422040240
6541555134200
7102305315343
oct17357147370
95320267250
102075971320
11975916a85
1249b2a4360
13271126ac7
141599d345a
15c23bc930
hex7bbccef8

2075971320 has 96 divisors (see below), whose sum is σ = 7143804720. Its totient is φ = 521026560.

The previous prime is 2075971309. The next prime is 2075971357. The reversal of 2075971320 is 231795702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163486 + ... + 175725.

Almost surely, 22075971320 is an apocalyptic number.

2075971320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2075971320 is an abundant number, since it is smaller than the sum of its proper divisors (5067833400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2075971320 is a wasteful number, since it uses less digits than its factorization.

2075971320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339245 (or 339238 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2075971320 is about 45562.8282704224. The cubic root of 2075971320 is about 1275.6761903418.

The spelling of 2075971320 in words is "two billion, seventy-five million, nine hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 339211 678422 1017633 1356844 1696055 2035266 2713688 3052899 3392110 4070532 5088165 5766587 6105798 6784220 8141064 10176330 11533174 12211596 13568440 15264495 17299761 20352660 23066348 24423192 28832935 30528990 34599522 40705320 46132696 51899283 57665870 61057980 69199044 86498805 103798566 115331740 122115960 138398088 172997610 207597132 230663480 259496415 345995220 415194264 518992830 691990440 1037985660 2075971320