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20287968 = 253211333
BaseRepresentation
bin100110101100…
…1000111100000
31102011201212020
41031121013200
520143203333
62002501440
7334305411
oct115310740
942151766
1020287968
11104a7718
126964880
13428451c
1429a1808
151bab3b3
hex13591e0

20287968 has 24 divisors (see below), whose sum is σ = 53256168. Its totient is φ = 6762624.

The previous prime is 20287961. The next prime is 20287997. The reversal of 20287968 is 86978202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20287961) 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, 105571 + ... + 105762.

It is an arithmetic number, because the mean of its divisors is an integer number (2219007).

Almost surely, 220287968 is an apocalyptic number.

It is an amenable number.

20287968 is an abundant number, since it is smaller than the sum of its proper divisors (32968200).

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

20287968 is a wasteful number, since it uses less digits than its factorization.

20287968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211346 (or 211338 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 20287968 is about 4504.2166910574. The cubic root of 20287968 is about 272.7383342584.

The spelling of 20287968 in words is "twenty million, two hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211333 422666 633999 845332 1267998 1690664 2535996 3381328 5071992 6762656 10143984 20287968