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5842160 = 245103709
BaseRepresentation
bin10110010010010011110000
3101222210221022
4112102103300
52443422120
6325115012
7100441352
oct26222360
911883838
105842160
113330335
121b58a68
1312971cc
14ac10d2
157a6025
hex5924f0

5842160 has 40 divisors (see below), whose sum is σ = 13734240. Its totient is φ = 2310912.

The previous prime is 5842159. The next prime is 5842163. The reversal of 5842160 is 612485.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5842163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7886 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (343356).

Almost surely, 25842160 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 5842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867120).

5842160 is an abundant number, since it is smaller than the sum of its proper divisors (7892080).

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

5842160 is a wasteful number, since it uses less digits than its factorization.

5842160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5842160 is about 2417.0560605828. The cubic root of 5842160 is about 180.1044661085.

It can be divided in two parts, 584 and 2160, that added together give a cube (2744 = 143).

The spelling of 5842160 in words is "five million, eight hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 709 824 1030 1418 1648 2060 2836 3545 4120 5672 7090 8240 11344 14180 28360 56720 73027 146054 292108 365135 584216 730270 1168432 1460540 2921080 5842160