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18330912 = 253263649
BaseRepresentation
bin100010111101…
…1010100100000
31021111022021200
41011323110200
514143042122
61452521200
7311544615
oct105732440
937438250
1018330912
11a390316
126180200
133a4a7c2
14261250c
1519215ac
hex117b520

18330912 has 36 divisors (see below), whose sum is σ = 52129350. Its totient is φ = 6110208.

The previous prime is 18330911. The next prime is 18330941. The reversal of 18330912 is 21903381.

It can be written as a sum of positive squares in only one way, i.e., 17338896 + 992016 = 4164^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×183309124 (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (18330911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31537 + ... + 32112.

Almost surely, 218330912 is an apocalyptic number.

18330912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18330912 is an abundant number, since it is smaller than the sum of its proper divisors (33798438).

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

18330912 is a wasteful number, since it uses less digits than its factorization.

18330912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63665 (or 63654 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 18330912 is about 4281.4614327353. The cubic root of 18330912 is about 263.6703875376.

The spelling of 18330912 in words is "eighteen million, three hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 63649 127298 190947 254596 381894 509192 572841 763788 1018384 1145682 1527576 2036768 2291364 3055152 4582728 6110304 9165456 18330912