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18816768 = 28328167
BaseRepresentation
bin100011111000…
…1111100000000
31022101222202100
41013301330000
514304114033
61511150400
7315640245
oct107617400
938358670
1018816768
11a692353
126375400
133b8a9a9
1426db5cc
1519ba513
hex11f1f00

18816768 has 54 divisors (see below), whose sum is σ = 54260024. Its totient is φ = 6271488.

The previous prime is 18816767. The next prime is 18816793. The reversal of 18816768 is 86761881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18816767) 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, 1780 + ... + 6387.

Almost surely, 218816768 is an apocalyptic number.

18816768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18816768 is an abundant number, since it is smaller than the sum of its proper divisors (35443256).

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

18816768 is an equidigital number, since it uses as much as digits as its factorization.

18816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8172 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 18816768 is about 4337.8298721826. The cubic root of 18816768 is about 265.9796091178.

It can be divided in two parts, 1881 and 6768, that added together give a square (8649 = 932).

The spelling of 18816768 in words is "eighteen million, eight hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 8167 16334 24501 32668 49002 65336 73503 98004 130672 147006 196008 261344 294012 392016 522688 588024 784032 1045376 1176048 1568064 2090752 2352096 3136128 4704192 6272256 9408384 18816768