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289054920 = 2335721141109
BaseRepresentation
bin10001001110101…
…010000011001000
3202010220111210210
4101032222003020
51042444224140
644403241120
710106632500
oct2116520310
9663814723
10289054920
11139189270
12809791a0
1347b6801b
142a564a00
151a59ad80
hex113aa0c8

289054920 has 384 divisors, whose sum is σ = 1137628800. Its totient is φ = 58060800.

The previous prime is 289054889. The next prime is 289054957. The reversal of 289054920 is 29450982.

289054920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2651826 + ... + 2651934.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575).

Almost surely, 2289054920 is an apocalyptic number.

289054920 is a gapful number since it is divisible by the number (20) 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 289054920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568814400).

289054920 is an abundant number, since it is smaller than the sum of its proper divisors (848573880).

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

289054920 is a wasteful number, since it uses less digits than its factorization.

289054920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 289054920 is about 17001.6152173845. The cubic root of 289054920 is about 661.1907795827.

The spelling of 289054920 in words is "two hundred eighty-nine million, fifty-four thousand, nine hundred twenty".