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5998320 = 243352777
BaseRepresentation
bin10110111000011011110000
3102021202011000
4112320123300
53013421240
6332322000
7101661546
oct26703360
912252130
105998320
113427699
122013300
131320303
14b21d96
157d7430
hex5b86f0

5998320 has 80 divisors (see below), whose sum is σ = 20668320. Its totient is φ = 1598976.

The previous prime is 5998303. The next prime is 5998339. The reversal of 5998320 is 238995.

5998320 is digitally balanced in base 4 and base 5, because in such bases 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772 + ... + 3548.

It is an arithmetic number, because the mean of its divisors is an integer number (258354).

Almost surely, 25998320 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 5998320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334160).

5998320 is an abundant number, since it is smaller than the sum of its proper divisors (14670000).

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

5998320 is a wasteful number, since it uses less digits than its factorization.

5998320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5998320 is about 2449.1467902108. The cubic root of 5998320 is about 181.6950979079.

The spelling of 5998320 in words is "five million, nine hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2777 5554 8331 11108 13885 16662 22216 24993 27770 33324 41655 44432 49986 55540 66648 74979 83310 99972 111080 124965 133296 149958 166620 199944 222160 249930 299916 333240 374895 399888 499860 599832 666480 749790 999720 1199664 1499580 1999440 2999160 5998320