Search a number
-
+
252364060 = 225133113121
BaseRepresentation
bin11110000101011…
…00010100011100
3122120212102102001
433002230110130
51004101122220
641013012044
76153026164
oct1702542434
9576772361
10252364060
1111a4a8943
1270624024
134038c760
14257335a4
151724e80a
hexf0ac51c

252364060 has 48 divisors (see below), whose sum is σ = 572749632. Its totient is φ = 92851200.

The previous prime is 252364051. The next prime is 252364067. The reversal of 252364060 is 60463252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252364067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79300 + ... + 82420.

It is an arithmetic number, because the mean of its divisors is an integer number (11932284).

Almost surely, 2252364060 is an apocalyptic number.

252364060 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 252364060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286374816).

252364060 is an abundant number, since it is smaller than the sum of its proper divisors (320385572).

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

252364060 is a wasteful number, since it uses less digits than its factorization.

252364060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 252364060 is about 15885.9705400709. The cubic root of 252364060 is about 631.9399845537.

The spelling of 252364060 in words is "two hundred fifty-two million, three hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 311 622 1244 1555 3110 3121 4043 6220 6242 8086 12484 15605 16172 20215 31210 40430 40573 62420 80860 81146 162292 202865 405730 811460 970631 1941262 3882524 4853155 9706310 12618203 19412620 25236406 50472812 63091015 126182030 252364060