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1330244560 = 24517232432
BaseRepresentation
bin100111101001001…
…1110101111010000
310102201002102111001
41033102132233100
510211020311220
6335555431344
744651615011
oct11722365720
93381072431
101330244560
11622985477
123115b5554
13182797378
14c8955008
157bbb680a
hex4f49ebd0

1330244560 has 180 divisors, whose sum is σ = 3504783492. Its totient is φ = 467884032.

The previous prime is 1330244557. The next prime is 1330244623. The reversal of 1330244560 is 654420331.

It can be written as a sum of positive squares in 2 ways, for example, as 766846864 + 563397696 = 27692^2 + 23736^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 30935899 + ... + 30935941.

Almost surely, 21330244560 is an apocalyptic number.

1330244560 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 1330244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752391746).

1330244560 is an abundant number, since it is smaller than the sum of its proper divisors (2174538932).

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

1330244560 is a wasteful number, since it uses less digits than its factorization.

1330244560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1330244560 is about 36472.5178730507. The cubic root of 1330244560 is about 1099.7918504221.

Adding to 1330244560 its reverse (654420331), we get a palindrome (1984664891).

The spelling of 1330244560 in words is "one billion, three hundred thirty million, two hundred forty-four thousand, five hundred sixty".