Search a number
-
+
18143328 = 253731929
BaseRepresentation
bin100010100110…
…1100001100000
31021010202222010
41011031201200
514121041303
61444512520
7310134000
oct105154140
937122863
1018143328
11a272395
1260ab740
1339b32c8
1425a4000
1518d5c03
hex114d860

18143328 has 192 divisors, whose sum is σ = 60480000. Its totient is φ = 4741632.

The previous prime is 18143311. The next prime is 18143329. The reversal of 18143328 is 82334181.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18143295 and 18143304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18143329) 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, 625618 + ... + 625646.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 218143328 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 18143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

18143328 is an abundant number, since it is smaller than the sum of its proper divisors (42336672).

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

18143328 is a wasteful number, since it uses less digits than its factorization.

18143328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 18143328 is about 4259.4985620376. The cubic root of 18143328 is about 262.7679042650.

The spelling of 18143328 in words is "eighteen million, one hundred forty-three thousand, three hundred twenty-eight".