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258060 = 2235111723
BaseRepresentation
bin111111000000001100
3111002222210
4333000030
531224220
65310420
72123235
oct770014
9432883
10258060
11166980
12105410
13905ca
146a08c
15516e0
hex3f00c

258060 has 96 divisors (see below), whose sum is σ = 870912. Its totient is φ = 56320.

The previous prime is 258031. The next prime is 258061. The reversal of 258060 is 60852.

It is a happy number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258060.

It is not an unprimeable number, because it can be changed into a prime (258061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11209 + ... + 11231.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2258060 is an apocalyptic number.

258060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

258060 is an abundant number, since it is smaller than the sum of its proper divisors (612852).

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

258060 is a wasteful number, since it uses less digits than its factorization.

258060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 258060 is about 507.9960629769. The cubic root of 258060 is about 63.6659021804.

The spelling of 258060 in words is "two hundred fifty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 23 30 33 34 44 46 51 55 60 66 68 69 85 92 102 110 115 132 138 165 170 187 204 220 230 253 255 276 330 340 345 374 391 460 506 510 561 660 690 748 759 782 935 1012 1020 1122 1173 1265 1380 1518 1564 1870 1955 2244 2346 2530 2805 3036 3740 3795 3910 4301 4692 5060 5610 5865 7590 7820 8602 11220 11730 12903 15180 17204 21505 23460 25806 43010 51612 64515 86020 129030 258060