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18000768 = 27346877
BaseRepresentation
bin100010010101…
…0101110000000
31020212112102010
41010222232000
514102011033
61441452520
7306001242
oct104525600
936775363
1018000768
11a185275
126041140
133963456
142568092
1518a8863
hex112ab80

18000768 has 32 divisors (see below), whose sum is σ = 47815560. Its totient is φ = 6000128.

The previous prime is 18000767. The next prime is 18000769. The reversal of 18000768 is 86700081.

It is an interprime number because it is at equal distance from previous prime (18000767) and next prime (18000769).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18000767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23055 + ... + 23822.

Almost surely, 218000768 is an apocalyptic number.

It is an amenable number.

18000768 is an abundant number, since it is smaller than the sum of its proper divisors (29814792).

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

18000768 is an equidigital number, since it uses as much as digits as its factorization.

18000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46894 (or 46882 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 18000768 is about 4242.7311958219. The cubic root of 18000768 is about 262.0778666445.

It can be divided in two parts, 18000 and 768, that multiplied together give a cube (13824000 = 2403).

The spelling of 18000768 in words is "eighteen million, seven hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 46877 93754 140631 187508 281262 375016 562524 750032 1125048 1500064 2250096 3000128 4500192 6000256 9000384 18000768