Search a number
-
+
18119232 = 263283379
BaseRepresentation
bin100010100011…
…1101001000000
31021002112220200
41011013221000
514114303412
61444205200
7310003515
oct105075100
937075820
1018119232
11a25627a
126099800
1339a5351
14259930c
1518cd9dc
hex1147a40

18119232 has 84 divisors (see below), whose sum is σ = 52699920. Its totient is φ = 5951232.

The previous prime is 18119219. The next prime is 18119237. The reversal of 18119232 is 23291181.

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 = 18119196 and 18119205.

It is not an unprimeable number, because it can be changed into a prime (18119237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47619 + ... + 47997.

It is an arithmetic number, because the mean of its divisors is an integer number (627380).

Almost surely, 218119232 is an apocalyptic number.

18119232 is a gapful number since it is divisible by the number (12) 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 18119232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26349960).

18119232 is an abundant number, since it is smaller than the sum of its proper divisors (34580688).

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

18119232 is a wasteful number, since it uses less digits than its factorization.

18119232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 18119232 is about 4256.6691203334. The cubic root of 18119232 is about 262.6515261213.

The spelling of 18119232 in words is "eighteen million, one hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 379 498 576 664 747 758 996 1137 1328 1494 1516 1992 2274 2656 2988 3032 3411 3984 4548 5312 5976 6064 6822 7968 9096 11952 12128 13644 15936 18192 23904 24256 27288 31457 36384 47808 54576 62914 72768 94371 109152 125828 188742 218304 251656 283113 377484 503312 566226 754968 1006624 1132452 1509936 2013248 2264904 3019872 4529808 6039744 9059616 18119232