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2831163120 = 2432513928289
BaseRepresentation
bin1010100011000000…
…0001111011110000
321022022022222200100
42220300001323300
521244234204440
61144533352400
7130105326612
oct25060017360
97268288610
102831163120
111223132835
12670198700
1336171b766
141cc016db2
15118843230
hexa8c01ef0

2831163120 has 120 divisors (see below), whose sum is σ = 9576730800. Its totient is φ = 749518848.

The previous prime is 2831163107. The next prime is 2831163131. The reversal of 2831163120 is 213611382.

It is a happy number.

2831163120 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 1 + 631 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×28311631202 = 16030969224096268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85936 + ... + 114224.

It is an arithmetic number, because the mean of its divisors is an integer number (79806090).

Almost surely, 22831163120 is an apocalyptic number.

2831163120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788365400).

2831163120 is an abundant number, since it is smaller than the sum of its proper divisors (6745567680).

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

2831163120 is a wasteful number, since it uses less digits than its factorization.

2831163120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28447 (or 28438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2831163120 is about 53208.6752325220. The cubic root of 2831163120 is about 1414.6694146286.

The spelling of 2831163120 in words is "two billion, eight hundred thirty-one million, one hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 139 144 180 240 278 360 417 556 695 720 834 1112 1251 1390 1668 2085 2224 2502 2780 3336 4170 5004 5560 6255 6672 8340 10008 11120 12510 16680 20016 25020 28289 33360 50040 56578 84867 100080 113156 141445 169734 226312 254601 282890 339468 424335 452624 509202 565780 678936 848670 1018404 1131560 1273005 1357872 1697340 2036808 2263120 2546010 3394680 3932171 4073616 5092020 6789360 7864342 10184040 11796513 15728684 19660855 20368080 23593026 31457368 35389539 39321710 47186052 58982565 62914736 70779078 78643420 94372104 117965130 141558156 157286840 176947695 188744208 235930260 283116312 314573680 353895390 471860520 566232624 707790780 943721040 1415581560 2831163120