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5858920 = 235712063
BaseRepresentation
bin10110010110011001101000
3102000122221001
4112112121220
52444441140
6325324344
7100541254
oct26263150
912018831
105858920
113341991
121b666b4
1312a1a22
14ac7264
157aae9a
hex596668

5858920 has 32 divisors (see below), whose sum is σ = 13374720. Its totient is φ = 2309440.

The previous prime is 5858911. The next prime is 5858927. The reversal of 5858920 is 298585.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5858920.

It is not an unprimeable number, because it can be changed into a prime (5858927) 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 7 ways as a sum of consecutive naturals, for example, 1809 + ... + 3871.

It is an arithmetic number, because the mean of its divisors is an integer number (417960).

Almost surely, 25858920 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 5858920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687360).

5858920 is an abundant number, since it is smaller than the sum of its proper divisors (7515800).

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

5858920 is a wasteful number, since it uses less digits than its factorization.

5858920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 5858920 is about 2420.5206051591. The cubic root of 5858920 is about 180.2765296890.

The spelling of 5858920 in words is "five million, eight hundred fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2063 2840 4126 8252 10315 16504 20630 41260 82520 146473 292946 585892 732365 1171784 1464730 2929460 5858920