Search a number
-
+
258540 = 223531139
BaseRepresentation
bin111111000111101100
3111010122120
4333013230
531233130
65312540
72124522
oct770754
9433576
10258540
11167277
12105750
13908a9
146a312
1551910
hex3f1ec

258540 has 48 divisors (see below), whose sum is σ = 752640. Its totient is φ = 66240.

The previous prime is 258539. The next prime is 258551. The reversal of 258540 is 45852.

It is a self number, because there is not a number n which added to its sum of digits gives 258540.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791 + ... + 1929.

It is an arithmetic number, because the mean of its divisors is an integer number (15680).

2258540 is an apocalyptic number.

258540 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 258540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376320).

258540 is an abundant number, since it is smaller than the sum of its proper divisors (494100).

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

258540 is a wasteful number, since it uses less digits than its factorization.

258540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 258540 is about 508.4682880967. The cubic root of 258540 is about 63.7053512818.

The spelling of 258540 in words is "two hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 139 155 186 278 310 372 417 465 556 620 695 834 930 1390 1668 1860 2085 2780 4170 4309 8340 8618 12927 17236 21545 25854 43090 51708 64635 86180 129270 258540