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27016020 = 22325150089
BaseRepresentation
bin110011100001…
…1101101010100
31212211120000100
41213003231110
523404003040
62403014100
7445426623
oct147035524
955746010
1027016020
1114282599
12906a330
13579ba15
1438336ba
152589b30
hex19c3b54

27016020 has 36 divisors (see below), whose sum is σ = 81949140. Its totient is φ = 7204224.

The previous prime is 27016019. The next prime is 27016037. The reversal of 27016020 is 2061072.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5225796 + 21790224 = 2286^2 + 4668^2 .

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 junction number, because it is equal to n+sod(n) for n = 27015984 and 27016002.

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 11 ways as a sum of consecutive naturals, for example, 74865 + ... + 75224.

It is an arithmetic number, because the mean of its divisors is an integer number (2276365).

Almost surely, 227016020 is an apocalyptic number.

27016020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27016020 is an abundant number, since it is smaller than the sum of its proper divisors (54933120).

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

27016020 is a wasteful number, since it uses less digits than its factorization.

27016020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150104 (or 150099 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 27016020 is about 5197.6937193336. The cubic root of 27016020 is about 300.0593216024.

Adding to 27016020 its reverse (2061072), we get a palindrome (29077092).

It can be divided in two parts, 270 and 16020, that added together give a triangular number (16290 = T180).

The spelling of 27016020 in words is "twenty-seven million, sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 150089 300178 450267 600356 750445 900534 1350801 1500890 1801068 2251335 2701602 3001780 4502670 5403204 6754005 9005340 13508010 27016020