Search a number
-
+
558060 = 223571131
BaseRepresentation
bin10001000001111101100
31001100111220
42020033230
5120324220
615543340
74512666
oct2101754
91040456
10558060
11351308
1222ab50
13167019
14107536
15b0540
hex883ec

558060 has 48 divisors (see below), whose sum is σ = 1596672. Its totient is φ = 145600.

The previous prime is 558053. The next prime is 558067. The reversal of 558060 is 60855.

It is an interprime number because it is at equal distance from previous prime (558053) and next prime (558067).

It is a super-2 number, since 2×5580602 = 622861927200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 558060.

It is not an unprimeable number, because it can be changed into a prime (558067) 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, 4195 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2558060 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 558060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336).

558060 is an abundant number, since it is smaller than the sum of its proper divisors (1038612).

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

558060 is a wasteful number, since it uses less digits than its factorization.

558060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 558060 is about 747.0341357662. The cubic root of 558060 is about 82.3304138063.

The spelling of 558060 in words is "five hundred fifty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 131 142 213 262 284 355 393 426 524 655 710 786 852 1065 1310 1420 1572 1965 2130 2620 3930 4260 7860 9301 18602 27903 37204 46505 55806 93010 111612 139515 186020 279030 558060