Search a number
-
+
5855000 = 23541171
BaseRepresentation
bin10110010101011100011000
3102000110112212
4112111130120
52444330000
6325254252
7100523654
oct26253430
912013485
105855000
113339a48
121b64388
13129ccc8
14ac5a64
157a9c35
hex595718

5855000 has 40 divisors (see below), whose sum is σ = 13729980. Its totient is φ = 2340000.

The previous prime is 5854999. The next prime is 5855023. The reversal of 5855000 is 5585.

It is a happy number.

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 9 ways as a sum of consecutive naturals, for example, 4415 + ... + 5585.

Almost surely, 25855000 is an apocalyptic number.

5855000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864990).

5855000 is an abundant number, since it is smaller than the sum of its proper divisors (7874980).

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

5855000 is a wasteful number, since it uses less digits than its factorization.

5855000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 5855000 is about 2419.7107265126. The cubic root of 5855000 is about 180.2363151295.

The spelling of 5855000 in words is "five million, eight hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1171 1250 2342 2500 4684 5000 5855 9368 11710 23420 29275 46840 58550 117100 146375 234200 292750 585500 731875 1171000 1463750 2927500 5855000