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904068 = 223311761
BaseRepresentation
bin11011100101110000100
31200221011000
43130232010
5212412233
631213300
710453524
oct3345604
91627130
10904068
11568270
12377230
13258669
14197684
1512cd13
hexdcb84

904068 has 48 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 273600.

The previous prime is 904067. The next prime is 904069. The reversal of 904068 is 860409.

904068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (904067) and next prime (904069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (904067) 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, 808 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

2904068 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 904068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160).

904068 is an abundant number, since it is smaller than the sum of its proper divisors (1656252).

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

904068 is a wasteful number, since it uses less digits than its factorization.

904068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 904068 is about 950.8249050167. The cubic root of 904068 is about 96.6941869062.

The spelling of 904068 in words is "nine hundred four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 761 1188 1522 2283 3044 4566 6849 8371 9132 13698 16742 20547 25113 27396 33484 41094 50226 75339 82188 100452 150678 226017 301356 452034 904068