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1330560000 = 2103354711
BaseRepresentation
bin100111101001110…
…1011110000000000
310102201200110012000
41033103223300000
510211110410000
6340010304000
744654400450
oct11723536000
93381613160
101330560000
11623080470
12311728000
13182877b13
14c89d7d60
157bc2a000
hex4f4ebc00

1330560000 has 880 divisors, whose sum is σ = 6139034880. Its totient is φ = 276480000.

The previous prime is 1330559963. The next prime is 1330560013. The reversal of 1330560000 is 650331.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959995 + ... + 120960005.

It is an arithmetic number, because the mean of its divisors is an integer number (6976176).

Almost surely, 21330560000 is an apocalyptic number.

1330560000 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 1330560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069517440).

1330560000 is an abundant number, since it is smaller than the sum of its proper divisors (4808474880).

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

1330560000 is an equidigital number, since it uses as much as digits as its factorization.

1330560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1330560000 is about 36476.8419685696. The cubic root of 1330560000 is about 1099.8787745196.

The spelling of 1330560000 in words is "one billion, three hundred thirty million, five hundred sixty thousand".