27130000 has 50 divisors (see below), whose sum is σ = 65708654. Its totient is φ = 10848000.

The previous prime is 27129983. The next prime is 27130007. The reversal of 27130000 is 3172.

It can be written as a sum of positive squares in 5 ways, for example, as 3041536 + 24088464 = 1744^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (27130007) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 8644 + ... + 11356.

Almost surely, 2^27130000 is an apocalyptic number.

27130000 is a gapful number since it is divisible by the number (20) 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 27130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32854327).

27130000 is an abundant number, since it is smaller than the sum of its proper divisors (38578654).

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

27130000 is an equidigital number, since it uses as much as digits as its factorization.

27130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 27130000 is about 5208.6466572422. The cubic root of 27130000 is about 300.4807107938.

Adding to 27130000 its reverse (3172), we get a palindrome (27133172).

The spelling of 27130000 in words is "twenty-seven million, one hundred thirty thousand".