Search a number
2904 = 233112
BaseRepresentation
bin101101011000
310222120
4231120
543104
621240
711316
oct5530
93876
102904
112200
121820
131425
1410b6
15cd9
hexb58

2904 has 24 divisors (see below), whose sum is σ = 7980. Its totient is φ = 880.

The previous prime is 2903. The next prime is 2909. The reversal of 2904 is 4092.

2904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 8 and base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 259 + ... + 269.

2904 is a gapful number since it is divisible by the number (24) 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 2904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990).

2904 is an abundant number, since it is smaller than the sum of its proper divisors (5076).

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

2904 is a wasteful number, since it uses less digits than its factorization.

2904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2904 is about 53.8887743412. Note that the first 3 decimals coincide. The cubic root of 2904 is about 14.2669849795.

Adding to 2904 its reverse (4092), we get a palindrome (6996).

The spelling of 2904 in words is "two thousand, nine hundred four".