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20765200 = 245251913
BaseRepresentation
bin100111100110…
…1101000010000
31110001222111111
41033031220100
520303441300
62021023104
7341333641
oct117155020
943058444
1020765200
11107a3225
126b54a94
1343c0801
142a876c8
151c529ba
hex13cda10

20765200 has 30 divisors (see below), whose sum is σ = 49889354. Its totient is φ = 8305920.

The previous prime is 20765183. The next prime is 20765201. The reversal of 20765200 is 256702.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 19749136 = 1008^2 + 4444^2 .

It is not an unprimeable number, because it can be changed into a prime (20765201) 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 5 ways as a sum of consecutive naturals, for example, 25557 + ... + 26356.

Almost surely, 220765200 is an apocalyptic number.

20765200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20765200 is an abundant number, since it is smaller than the sum of its proper divisors (29124154).

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

20765200 is a wasteful number, since it uses less digits than its factorization.

20765200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51931 (or 51920 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 20765200 is about 4556.8849008945. The cubic root of 20765200 is about 274.8603147343.

The spelling of 20765200 in words is "twenty million, seven hundred sixty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 51913 103826 207652 259565 415304 519130 830608 1038260 1297825 2076520 2595650 4153040 5191300 10382600 20765200