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5805040 = 245149487
BaseRepresentation
bin10110001001001111110000
3101220221000111
4112021033300
52441230130
6324231104
7100225213
oct26111760
911827014
105805040
11330545a
121b3b494
131283347
14ab177a
1579a02a
hex5893f0

5805040 has 40 divisors (see below), whose sum is σ = 13615200. Its totient is φ = 2301696.

The previous prime is 5805011. The next prime is 5805053. The reversal of 5805040 is 405085.

It is a happy number.

5805040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 11677 + ... + 12163.

It is an arithmetic number, because the mean of its divisors is an integer number (340380).

Almost surely, 25805040 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 5805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807600).

5805040 is an abundant number, since it is smaller than the sum of its proper divisors (7810160).

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

5805040 is a wasteful number, since it uses less digits than its factorization.

5805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5805040 is about 2409.3650615878. The cubic root of 5805040 is about 179.7222052436.

The spelling of 5805040 in words is "five million, eight hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 487 596 745 974 1192 1490 1948 2384 2435 2980 3896 4870 5960 7792 9740 11920 19480 38960 72563 145126 290252 362815 580504 725630 1161008 1451260 2902520 5805040