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2688056 = 237232087
BaseRepresentation
bin1010010000010000111000
312001120022122
422100100320
51142004211
6133340412
731563620
oct12202070
95046278
102688056
111576638
12a97708
13731687
144dd880
153816db
hex290438

2688056 has 32 divisors (see below), whose sum is σ = 6013440. Its totient is φ = 1101408.

The previous prime is 2688053. The next prime is 2688073. The reversal of 2688056 is 6508862.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 2331.

It is an arithmetic number, because the mean of its divisors is an integer number (187920).

22688056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006720).

2688056 is an abundant number, since it is smaller than the sum of its proper divisors (3325384).

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

2688056 is a wasteful number, since it uses less digits than its factorization.

2688056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2688056 is about 1639.5292007159. The cubic root of 2688056 is about 139.0420313517.

The spelling of 2688056 in words is "two million, six hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 2087 4174 8348 14609 16696 29218 48001 58436 96002 116872 192004 336007 384008 672014 1344028 2688056