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5897760 = 2535111117
BaseRepresentation
bin10110011111111000100000
3102002122012120
4112133320200
53002212020
6330224240
7101062431
oct26377040
912078176
105897760
113369090
121b85080
1312b65cb
14ad7488
157b7740
hex59fe20

5897760 has 96 divisors (see below), whose sum is σ = 20284992. Its totient is φ = 1428480.

The previous prime is 5897711. The next prime is 5897761. The reversal of 5897760 is 677985.

5897760 is digitally balanced in base 4, because in such base 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5897761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4722 + ... + 5838.

It is an arithmetic number, because the mean of its divisors is an integer number (211302).

Almost surely, 25897760 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 5897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142496).

5897760 is an abundant number, since it is smaller than the sum of its proper divisors (14387232).

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

5897760 is a wasteful number, since it uses less digits than its factorization.

5897760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5897760 is about 2428.5304198218. The cubic root of 5897760 is about 180.6740161829.

The spelling of 5897760 in words is "five million, eight hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1117 1320 1760 2234 2640 3351 4468 5280 5585 6702 8936 11170 12287 13404 16755 17872 22340 24574 26808 33510 35744 36861 44680 49148 53616 61435 67020 73722 89360 98296 107232 122870 134040 147444 178720 184305 196592 245740 268080 294888 368610 393184 491480 536160 589776 737220 982960 1179552 1474440 1965920 2948880 5897760