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5989200 = 2435272331
BaseRepresentation
bin10110110110001101010000
3102021021122020
4112312031100
53013123300
6332211440
7101623140
oct26661520
912237566
105989200
113420858
122009b80
131319109
14b1c920
157d48a0
hex5b6350

5989200 has 240 divisors, whose sum is σ = 23617536. Its totient is φ = 1267200.

The previous prime is 5989183. The next prime is 5989241. The reversal of 5989200 is 29895.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 193185 + ... + 193215.

Almost surely, 25989200 is an apocalyptic number.

5989200 is a gapful number since it is divisible by the number (50) 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 5989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808768).

5989200 is an abundant number, since it is smaller than the sum of its proper divisors (17628336).

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

5989200 is a wasteful number, since it uses less digits than its factorization.

5989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 5989200 is about 2447.2842090775. The cubic root of 5989200 is about 181.6029665658.

The spelling of 5989200 in words is "five million, nine hundred eighty-nine thousand, two hundred".