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5806960 = 245292503
BaseRepresentation
bin10110001001101101110000
3101221000122121
4112021231300
52441310320
6324244024
7100233625
oct26115560
911830577
105806960
113306945
121b40614
131284193
14ab234c
1579a8aa
hex589b70

5806960 has 40 divisors (see below), whose sum is σ = 13972320. Its totient is φ = 2241792.

The previous prime is 5806937. The next prime is 5806961. The reversal of 5806960 is 696085.

5806960 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 Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5806961) 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, 1069 + ... + 3571.

It is an arithmetic number, because the mean of its divisors is an integer number (349308).

Almost surely, 25806960 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 5806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986160).

5806960 is an abundant number, since it is smaller than the sum of its proper divisors (8165360).

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

5806960 is a wasteful number, since it uses less digits than its factorization.

5806960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 5806960 is about 2409.7634738704. The cubic root of 5806960 is about 179.7420172574.

The spelling of 5806960 in words is "five million, eight hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2503 5006 10012 12515 20024 25030 40048 50060 72587 100120 145174 200240 290348 362935 580696 725870 1161392 1451740 2903480 5806960