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904064 = 2771009
BaseRepresentation
bin11011100101110000000
31200221010212
43130232000
5212412224
631213252
710453520
oct3345600
91627125
10904064
11568267
12377228
13258665
14197680
1512cd0e
hexdcb80

904064 has 32 divisors (see below), whose sum is σ = 2060400. Its totient is φ = 387072.

The previous prime is 904049. The next prime is 904067. The reversal of 904064 is 460409.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 904064.

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 3 ways as a sum of consecutive naturals, for example, 392 + ... + 1400.

2904064 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 904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030200).

904064 is an abundant number, since it is smaller than the sum of its proper divisors (1156336).

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

904064 is a wasteful number, since it uses less digits than its factorization.

904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 904064 is about 950.8228015777. The cubic root of 904064 is about 96.6940442999.

The spelling of 904064 in words is "nine hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1009 2018 4036 7063 8072 14126 16144 28252 32288 56504 64576 113008 129152 226016 452032 904064