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5835141 = 321353941
BaseRepresentation
bin10110010000100110000101
3101222110022100
4112100212011
52443211031
6325022313
7100412034
oct26204605
911873270
105835141
113326034
121b54999
131293c60
14abc71b
157a3de6
hex590985

5835141 has 24 divisors (see below), whose sum is σ = 9257976. Its totient is φ = 3519360.

The previous prime is 5835139. The next prime is 5835157. The reversal of 5835141 is 1415385.

5835141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 772641 + 5062500 = 879^2 + 2250^2 .

It is not a de Polignac number, because 5835141 - 21 = 5835139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5835101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5731 + ... + 6671.

It is an arithmetic number, because the mean of its divisors is an integer number (385749).

Almost surely, 25835141 is an apocalyptic number.

It is an amenable number.

5835141 is a deficient number, since it is larger than the sum of its proper divisors (3422835).

5835141 is a wasteful number, since it uses less digits than its factorization.

5835141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1010 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 5835141 is about 2415.6036512640. The cubic root of 5835141 is about 180.0323090152.

The spelling of 5835141 in words is "five million, eight hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 941 2067 2823 6201 8469 12233 36699 49873 110097 149619 448857 648349 1945047 5835141