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27052704 = 25357271
BaseRepresentation
bin110011100110…
…0101010100000
31212220102100000
41213030222200
523411141304
62403500000
7445641600
oct147145240
955812300
1027052704
11142a8108
129087600
1357b2623
143842c00
152595939
hex19ccaa0

27052704 has 216 divisors, whose sum is σ = 94112928. Its totient is φ = 7620480.

The previous prime is 27052691. The next prime is 27052709. The reversal of 27052704 is 40725072.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27052709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380989 + ... + 381059.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 227052704 is an apocalyptic number.

27052704 is a gapful number since it is divisible by the number (24) 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 27052704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

27052704 is an abundant number, since it is smaller than the sum of its proper divisors (67060224).

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

27052704 is an equidigital number, since it uses as much as digits as its factorization.

27052704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 27052704 is about 5201.2213950187. The cubic root of 27052704 is about 300.1950731274.

Adding to 27052704 its reverse (40725072), we get a palindrome (67777776).

The spelling of 27052704 in words is "twenty-seven million, fifty-two thousand, seven hundred four".