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2160312 = 2337211167
BaseRepresentation
bin1000001111011010111000
311001202101120
420033122320
51023112222
6114145240
724235200
oct10173270
94052346
102160312
111246090
12882220
135a83bb
14403400
152ca15c
hex20f6b8

2160312 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 557760.

The previous prime is 2160311. The next prime is 2160337. The reversal of 2160312 is 2130612.

2160312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2160291 and 2160300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12853 + ... + 13019.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22160312 is an apocalyptic number.

2160312 is a gapful number since it is divisible by the number (22) 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 2160312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2160312 is an abundant number, since it is smaller than the sum of its proper divisors (4734408).

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

2160312 is a wasteful number, since it uses less digits than its factorization.

2160312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2160312 is about 1469.7999863927. The cubic root of 2160312 is about 129.2723050247.

Adding to 2160312 its reverse (2130612), we get a palindrome (4290924).

The spelling of 2160312 in words is "two million, one hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 167 168 196 231 264 294 308 334 392 462 501 539 588 616 668 924 1002 1078 1169 1176 1336 1617 1837 1848 2004 2156 2338 3234 3507 3674 4008 4312 4676 5511 6468 7014 7348 8183 9352 11022 12859 12936 14028 14696 16366 22044 24549 25718 28056 32732 38577 44088 49098 51436 65464 77154 90013 98196 102872 154308 180026 196392 270039 308616 360052 540078 720104 1080156 2160312