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BaseRepresentation
bin100011111111…
…0011101000000
31022111121002000
41013332131000
514312234112
61512224000
7316242561
oct107763500
938447060
1018868032
11a717917
12639b000
133ba8121
142712168
1519ca7dc
hex11fe740

18868032 has 112 divisors (see below), whose sum is σ = 56692800. Its totient is φ = 6151680.

The previous prime is 18868021. The next prime is 18868043. The reversal of 18868032 is 23086881.

It is an interprime number because it is at equal distance from previous prime (18868021) and next prime (18868043).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105319 + ... + 105497.

Almost surely, 218868032 is an apocalyptic number.

18868032 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 18868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28346400).

18868032 is an abundant number, since it is smaller than the sum of its proper divisors (37824768).

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

18868032 is a wasteful number, since it uses less digits than its factorization.

18868032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18868032 is about 4343.7347985346. The cubic root of 18868032 is about 266.2209331490.

The spelling of 18868032 in words is "eighteen million, eight hundred sixty-eight thousand, thirty-two".