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5798960 = 245173419
BaseRepresentation
bin10110000111110000110000
3101220121200022
4112013300300
52441031320
6324143012
7100201406
oct26076060
911817608
105798960
113300932
121b37a68
13128064b
14aad476
15798325
hex587c30

5798960 has 40 divisors (see below), whose sum is σ = 13592880. Its totient is φ = 2300672.

The previous prime is 5798959. The next prime is 5798981. The reversal of 5798960 is 698975.

5798960 is digitally balanced in base 5, 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 (40).

It is a d-powerful number, because it can be written as 5 + 78 + 9 + 85 + 92 + 64 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13631 + ... + 14049.

It is an arithmetic number, because the mean of its divisors is an integer number (339822).

Almost surely, 25798960 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 5798960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796440).

5798960 is an abundant number, since it is smaller than the sum of its proper divisors (7793920).

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

5798960 is a wasteful number, since it uses less digits than its factorization.

5798960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 5798960 is about 2408.1029878309. The cubic root of 5798960 is about 179.6594383652.

The spelling of 5798960 in words is "five million, seven hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 419 692 838 865 1384 1676 1730 2095 2768 3352 3460 4190 6704 6920 8380 13840 16760 33520 72487 144974 289948 362435 579896 724870 1159792 1449740 2899480 5798960