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5896968 = 2337113191
BaseRepresentation
bin10110011111101100001000
3102002121010020
4112133230020
53002200333
6330220440
7101060220
oct26375410
912077106
105896968
113368530
121b84720
1312b613c
14ad7080
157b73b3
hex59fb08

5896968 has 64 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1531200.

The previous prime is 5896963. The next prime is 5896981. The reversal of 5896968 is 8696985.

5896968 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

5896968 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5896968.

It is not an unprimeable number, because it can be changed into a prime (5896963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253 + ... + 3443.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 25896968 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 5896968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

5896968 is an abundant number, since it is smaller than the sum of its proper divisors (12488952).

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

5896968 is a wasteful number, since it uses less digits than its factorization.

5896968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3214 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 5896968 is about 2428.3673527702. The cubic root of 5896968 is about 180.6659283537.

It can be divided in two parts, 589 and 6968, that added together give a palindrome (7557).

The spelling of 5896968 in words is "five million, eight hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 3191 6382 9573 12764 19146 22337 25528 35101 38292 44674 67011 70202 76584 89348 105303 134022 140404 178696 210606 245707 268044 280808 421212 491414 536088 737121 842424 982828 1474242 1965656 2948484 5896968