Search a number
-
+
6005856 = 25373857
BaseRepresentation
bin10110111010010001100000
3102022010111010
4112322101200
53014141411
6332420520
7102022533
oct26722140
912263433
106005856
11343231a
122017740
13132387c
14b24a1a
157d97a6
hex5ba460

6005856 has 48 divisors (see below), whose sum is σ = 15999984. Its totient is φ = 1972224.

The previous prime is 6005851. The next prime is 6005861. The reversal of 6005856 is 6585006.

It is an interprime number because it is at equal distance from previous prime (6005851) and next prime (6005861).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6580 + ... + 7436.

It is an arithmetic number, because the mean of its divisors is an integer number (333333).

Almost surely, 26005856 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 6005856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999992).

6005856 is an abundant number, since it is smaller than the sum of its proper divisors (9994128).

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

6005856 is a wasteful number, since it uses less digits than its factorization.

6005856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 6005856 is about 2450.6848022543. The cubic root of 6005856 is about 181.7711570509.

The spelling of 6005856 in words is "six million, five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 857 876 1168 1714 1752 2336 2571 3428 3504 5142 6856 7008 10284 13712 20568 27424 41136 62561 82272 125122 187683 250244 375366 500488 750732 1000976 1501464 2001952 3002928 6005856