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18639072 = 25361747
BaseRepresentation
bin100011100011…
…0100011100000
31022001222000000
41013012203200
514232422242
61503300000
7314300214
oct107064340
938058000
1018639072
11a5808a1
1262aa600
133b27b4a
142692944
151982a4c
hex11c68e0

18639072 has 168 divisors, whose sum is σ = 59494176. Its totient is φ = 5723136.

The previous prime is 18639067. The next prime is 18639113. The reversal of 18639072 is 27093681.

18639072 is a `hidden beast` number, since 18 + 639 + 0 + 7 + 2 = 666.

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 396553 + ... + 396599.

It is an arithmetic number, because the mean of its divisors is an integer number (354132).

Almost surely, 218639072 is an apocalyptic number.

18639072 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 18639072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29747088).

18639072 is an abundant number, since it is smaller than the sum of its proper divisors (40855104).

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

18639072 is an equidigital number, since it uses as much as digits as its factorization.

18639072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 18639072 is about 4317.2991557222. The cubic root of 18639072 is about 265.1397008747.

The spelling of 18639072 in words is "eighteen million, six hundred thirty-nine thousand, seventy-two".