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258053360 = 2453225667
BaseRepresentation
bin11110110000110…
…01010011110000
3122222120110122212
433120121103300
51012030201420
641334551252
76252263105
oct1730312360
9588513585
10258053360
11122734344
1272508528
13416021c6
14263b4aac
15179c53c5
hexf6194f0

258053360 has 20 divisors (see below), whose sum is σ = 599974248. Its totient is φ = 103221312.

The previous prime is 258053311. The next prime is 258053371. The reversal of 258053360 is 63350852.

258053360 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1612754 + ... + 1612913.

Almost surely, 2258053360 is an apocalyptic number.

258053360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258053360 is an abundant number, since it is smaller than the sum of its proper divisors (341920888).

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

258053360 is a wasteful number, since it uses less digits than its factorization.

258053360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225680 (or 3225674 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 258053360 is about 16064.0393425813. The cubic root of 258053360 is about 636.6535612493.

The spelling of 258053360 in words is "two hundred fifty-eight million, fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3225667 6451334 12902668 16128335 25805336 32256670 51610672 64513340 129026680 258053360