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27000180 = 22325150001
BaseRepresentation
bin110011011111…
…1110101110100
31212210202021200
41212333311310
523403001210
62402412500
7445332504
oct146776564
955722250
1027000180
11142716a9
129061130
13579474c
14382ba04
1525850c0
hex19bfd74

27000180 has 36 divisors (see below), whose sum is σ = 81901092. Its totient is φ = 7200000.

The previous prime is 27000179. The next prime is 27000187. The reversal of 27000180 is 8100072.

It can be written as a sum of positive squares in 2 ways, for example, as 9511056 + 17489124 = 3084^2 + 4182^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27000187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74821 + ... + 75180.

Almost surely, 227000180 is an apocalyptic number.

27000180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27000180 is an abundant number, since it is smaller than the sum of its proper divisors (54900912).

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

27000180 is a wasteful number, since it uses less digits than its factorization.

27000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150016 (or 150011 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 27000180 is about 5196.1697431858. The cubic root of 27000180 is about 300.0006666652. Note that the first 3 decimals are identical.

The spelling of 27000180 in words is "twenty-seven million, one hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 150001 300002 450003 600004 750005 900006 1350009 1500010 1800012 2250015 2700018 3000020 4500030 5400036 6750045 9000060 13500090 27000180