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2088064 = 27111483
BaseRepresentation
bin111111101110010000000
310221002021201
413331302000
51013304224
6112430544
723514436
oct7756200
93832251
102088064
1111a6880
12848454
13581554
143c4d56
152b3a44
hex1fdc80

2088064 has 32 divisors (see below), whose sum is σ = 4541040. Its totient is φ = 948480.

The previous prime is 2088061. The next prime is 2088077. The reversal of 2088064 is 4608802.

2088064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×20880642 = 8720022536192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2088061) 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 3 ways as a sum of consecutive naturals, for example, 667 + ... + 2149.

22088064 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 2088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270520).

2088064 is an abundant number, since it is smaller than the sum of its proper divisors (2452976).

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

2088064 is a wasteful number, since it uses less digits than its factorization.

2088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2088064 is about 1445.0134947467. The cubic root of 2088064 is about 127.8148364400.

The spelling of 2088064 in words is "two million, eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1483 2966 5932 11864 16313 23728 32626 47456 65252 94912 130504 189824 261008 522016 1044032 2088064