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2688064 = 2697433
BaseRepresentation
bin1010010000010001000000
312001120022221
422100101000
51142004224
6133340424
731563631
oct12202100
95046287
102688064
111576645
12a97714
13731692
144dd888
153816e4
hex290440

2688064 has 28 divisors (see below), whose sum is σ = 5401564. Its totient is φ = 1327104.

The previous prime is 2688053. The next prime is 2688073. The reversal of 2688064 is 4608862.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 1982464 = 840^2 + 1408^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5992 + ... + 6424.

It is an arithmetic number, because the mean of its divisors is an integer number (192913).

22688064 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 2688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700782).

2688064 is an abundant number, since it is smaller than the sum of its proper divisors (2713500).

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

2688064 is an equidigital number, since it uses as much as digits as its factorization.

2688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2688064 is about 1639.5316404388. The cubic root of 2688064 is about 139.0421692872.

The spelling of 2688064 in words is "two million, six hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 97 194 388 433 776 866 1552 1732 3104 3464 6208 6928 13856 27712 42001 84002 168004 336008 672016 1344032 2688064