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5816040 = 2335172851
BaseRepresentation
bin10110001011111011101000
3101221111002220
4112023323220
52442103130
6324354040
7100302246
oct26137350
911844086
105816040
11331274a
121b45920
131288359
14ab5796
1579d410
hex58bee8

5816040 has 64 divisors (see below), whose sum is σ = 18480960. Its totient is φ = 1459200.

The previous prime is 5816029. The next prime is 5816047. The reversal of 5816040 is 406185.

5816040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5816040.

It is not an unprimeable number, because it can be changed into a prime (5816047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615 + ... + 3465.

It is an arithmetic number, because the mean of its divisors is an integer number (288765).

Almost surely, 25816040 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 5816040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240480).

5816040 is an abundant number, since it is smaller than the sum of its proper divisors (12664920).

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

5816040 is a wasteful number, since it uses less digits than its factorization.

5816040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5816040 is about 2411.6467403001. The cubic root of 5816040 is about 179.8356524586.

The spelling of 5816040 in words is "five million, eight hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2851 5702 8553 11404 14255 17106 22808 28510 34212 42765 48467 57020 68424 85530 96934 114040 145401 171060 193868 242335 290802 342120 387736 484670 581604 727005 969340 1163208 1454010 1938680 2908020 5816040