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258630 = 23537233
BaseRepresentation
bin111111001001000110
3111010202220
4333021012
531234010
65313210
72125011
oct771106
9433686
10258630
11167349
12105806
1390948
146a378
1551970
hex3f246

258630 has 32 divisors (see below), whose sum is σ = 640224. Its totient is φ = 66816.

The previous prime is 258623. The next prime is 258631. The reversal of 258630 is 36852.

258630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 258630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258631) 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, 994 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (20007).

2258630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320112).

258630 is an abundant number, since it is smaller than the sum of its proper divisors (381594).

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

258630 is a wasteful number, since it uses less digits than its factorization.

258630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 258630 is about 508.5567814905. The cubic root of 258630 is about 63.7127425513.

It can be divided in two parts, 258 and 630, that added together give a palindrome (888).

The spelling of 258630 in words is "two hundred fifty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 233 370 466 555 699 1110 1165 1398 2330 3495 6990 8621 17242 25863 43105 51726 86210 129315 258630