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5328960 = 263571361
BaseRepresentation
bin10100010101000001000000
3101000201221220
4110111001000
52331011320
6310115040
763203220
oct24250100
911021856
105328960
11300a7aa
12194ba80
131147740
149ca080
15703e40
hex515040

5328960 has 224 divisors, whose sum is σ = 21165312. Its totient is φ = 1105920.

The previous prime is 5328913. The next prime is 5328989. The reversal of 5328960 is 698235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87330 + ... + 87390.

It is an arithmetic number, because the mean of its divisors is an integer number (94488).

Almost surely, 25328960 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 5328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582656).

5328960 is an abundant number, since it is smaller than the sum of its proper divisors (15836352).

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

5328960 is a wasteful number, since it uses less digits than its factorization.

5328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5328960 is about 2308.4540281322. The cubic root of 5328960 is about 174.6683241560.

The spelling of 5328960 in words is "five million, three hundred twenty-eight thousand, nine hundred sixty".