Search a number
-
+
18133056 = 263231481
BaseRepresentation
bin100010100101…
…1000001000000
31021010020212200
41011023001000
514120224211
61444353200
7310062024
oct105130100
937106780
1018133056
11a2656a7
1260a5800
1339ab726
1425a0384
1518d2b56
hex114b040

18133056 has 42 divisors (see below), whose sum is σ = 51976782. Its totient is φ = 6044160.

The previous prime is 18133051. The next prime is 18133069. The reversal of 18133056 is 65033181.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 6843456 = 3360^2 + 2616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18133051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15165 + ... + 16316.

Almost surely, 218133056 is an apocalyptic number.

18133056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18133056 is an abundant number, since it is smaller than the sum of its proper divisors (33843726).

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

18133056 is a wasteful number, since it uses less digits than its factorization.

18133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31499 (or 31486 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 18133056 is about 4258.2926155914. The cubic root of 18133056 is about 262.7183054730.

The spelling of 18133056 in words is "eighteen million, one hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 31481 62962 94443 125924 188886 251848 283329 377772 503696 566658 755544 1007392 1133316 1511088 2014784 2266632 3022176 4533264 6044352 9066528 18133056