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18114912 = 2532312029
BaseRepresentation
bin100010100011…
…0100101100000
31021002022222200
41011012211200
514114134122
61444133200
7306655104
oct105064540
937068880
1018114912
11a253002
126097200
1339a33aa
142597904
1518cc5ac
hex1146960

18114912 has 72 divisors (see below), whose sum is σ = 53202240. Its totient is φ = 5840640.

The previous prime is 18114893. The next prime is 18114913. The reversal of 18114912 is 21941181.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×181149123 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18114913) 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, 7914 + ... + 9942.

It is an arithmetic number, because the mean of its divisors is an integer number (738920).

Almost surely, 218114912 is an apocalyptic number.

18114912 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 18114912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26601120).

18114912 is an abundant number, since it is smaller than the sum of its proper divisors (35087328).

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

18114912 is a wasteful number, since it uses less digits than its factorization.

18114912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2065 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 18114912 is about 4256.1616510654. The cubic root of 18114912 is about 262.6306506085.

The spelling of 18114912 in words is "eighteen million, one hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2029 2232 2976 4058 4464 6087 8116 8928 12174 16232 18261 24348 32464 36522 48696 62899 64928 73044 97392 125798 146088 188697 194784 251596 292176 377394 503192 566091 584352 754788 1006384 1132182 1509576 2012768 2264364 3019152 4528728 6038304 9057456 18114912