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5835920 = 24572949
BaseRepresentation
bin10110010000110010010000
3101222111101012
4112100302100
52443222140
6325030052
7100414226
oct26206220
911874335
105835920
113326682
121b55328
13129440c
14abcb16
157a4265
hex590c90

5835920 has 20 divisors (see below), whose sum is σ = 13568700. Its totient is φ = 2334336.

The previous prime is 5835871. The next prime is 5835923. The reversal of 5835920 is 295385.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4545424 + 1290496 = 2132^2 + 1136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (5835923) 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, 36395 + ... + 36554.

It is an arithmetic number, because the mean of its divisors is an integer number (678435).

Almost surely, 25835920 is an apocalyptic number.

It is an amenable number.

5835920 is an abundant number, since it is smaller than the sum of its proper divisors (7732780).

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

5835920 is a wasteful number, since it uses less digits than its factorization.

5835920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72962 (or 72956 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 5835920 is about 2415.7648892225. The cubic root of 5835920 is about 180.0403201857.

The spelling of 5835920 in words is "five million, eight hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 72949 145898 291796 364745 583592 729490 1167184 1458980 2917960 5835920