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20283008 = 27211751
BaseRepresentation
bin100110101011…
…1111010000000
31102011111001112
41031113322000
520143024013
62002422452
7334255064
oct115277200
942144045
1020283008
11104a3a19
126961a28
1342821a5
14299daa4
151ba9ba8
hex1357e80

20283008 has 32 divisors (see below), whose sum is σ = 40653120. Its totient is φ = 10080000.

The previous prime is 20283007. The next prime is 20283037. The reversal of 20283008 is 80038202.

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

It is a super-3 number, since 3×202830083 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20283007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26633 + ... + 27383.

It is an arithmetic number, because the mean of its divisors is an integer number (1270410).

Almost surely, 220283008 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 20283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20326560).

20283008 is an abundant number, since it is smaller than the sum of its proper divisors (20370112).

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

20283008 is an equidigital number, since it uses as much as digits as its factorization.

20283008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20283008 is about 4503.6660622209. Note that the first 3 decimals coincide. The cubic root of 20283008 is about 272.7161061017.

The spelling of 20283008 in words is "twenty million, two hundred eighty-three thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 211 422 751 844 1502 1688 3004 3376 6008 6752 12016 13504 24032 27008 48064 96128 158461 316922 633844 1267688 2535376 5070752 10141504 20283008