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5930368 = 27107433
BaseRepresentation
bin10110100111110110000000
3102011021221021
4112213312000
53004232433
6331035224
7101256463
oct26476600
912137837
105930368
113390634
121b9bb14
1312c83c2
14b052da
157c222d
hex5a7d80

5930368 has 32 divisors (see below), whose sum is σ = 11952360. Its totient is φ = 2930688.

The previous prime is 5930347. The next prime is 5930369. The reversal of 5930368 is 8630395.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5930369) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13480 + ... + 13912.

Almost surely, 25930368 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 5930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976180).

5930368 is an abundant number, since it is smaller than the sum of its proper divisors (6021992).

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

5930368 is a wasteful number, since it uses less digits than its factorization.

5930368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 5930368 is about 2435.2346909487. The cubic root of 5930368 is about 181.0063793118.

The spelling of 5930368 in words is "five million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 433 856 866 1712 1732 3424 3464 6848 6928 13696 13856 27712 46331 55424 92662 185324 370648 741296 1482592 2965184 5930368