1300240000 has 80 divisors (see below), whose sum is σ = 3237065370. Its totient is φ = 520064000.

The previous prime is 1300239973. The next prime is 1300240001. The reversal of 1300240000 is 420031.

It can be written as a sum of positive squares in 5 ways, for example, as 54997056 + 1245242944 = 7416^2 + 35288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1300240001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 71874 + ... + 88126.

Almost surely, 2^1300240000 is an apocalyptic number.

1300240000 is a gapful number since it is divisible by the number (10) 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 1300240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618532685).

1300240000 is an abundant number, since it is smaller than the sum of its proper divisors (1936825370).

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

1300240000 is an frugal number, since it uses more digits than its factorization.

1300240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16287 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1300240000 is about 36058.8408022221. The cubic root of 1300240000 is about 1091.4600415674.

Adding to 1300240000 its reverse (420031), we get a palindrome (1300660031).

The spelling of 1300240000 in words is "one billion, three hundred million, two hundred forty thousand".