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2143356160 = 28511191797
BaseRepresentation
bin111111111000001…
…0000010100000000
312112101002202220111
41333300100110000
513342144344120
6552403321104
7104054140531
oct17760202400
95471082814
102143356160
119aa961230
124b9980194
1328208b1aa
14164934688
15c827d75a
hex7fc10500

2143356160 has 144 divisors (see below), whose sum is σ = 5637123072. Its totient is φ = 774348800.

The previous prime is 2143356121. The next prime is 2143356167. The reversal of 2143356160 is 616533412.

2143356160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143356167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2688882 + ... + 2689678.

It is an arithmetic number, because the mean of its divisors is an integer number (39146688).

Almost surely, 22143356160 is an apocalyptic number.

2143356160 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 2143356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818561536).

2143356160 is an abundant number, since it is smaller than the sum of its proper divisors (3493766912).

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

2143356160 is a wasteful number, since it uses less digits than its factorization.

2143356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 2143356160 is about 46296.3946760436. The cubic root of 2143356160 is about 1289.3320581118.

Adding to 2143356160 its reverse (616533412), we get a palindrome (2759889572).

The spelling of 2143356160 in words is "two billion, one hundred forty-three million, three hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 191 220 256 320 352 382 440 640 704 764 797 880 955 1280 1408 1528 1594 1760 1910 2101 2816 3056 3188 3520 3820 3985 4202 6112 6376 7040 7640 7970 8404 8767 10505 12224 12752 14080 15280 15940 16808 17534 21010 24448 25504 30560 31880 33616 35068 42020 43835 48896 51008 61120 63760 67232 70136 84040 87670 102016 122240 127520 134464 140272 152227 168080 175340 204032 244480 255040 268928 280544 304454 336160 350680 510080 537856 561088 608908 672320 701360 761135 1020160 1122176 1217816 1344640 1402720 1522270 1674497 2244352 2435632 2689280 2805440 3044540 3348994 4871264 5610880 6089080 6697988 8372485 9742528 11221760 12178160 13395976 16744970 19485056 24356320 26791952 33489940 38970112 48712640 53583904 66979880 97425280 107167808 133959760 194850560 214335616 267919520 428671232 535839040 1071678080 2143356160