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2130327360 = 263257251421
BaseRepresentation
bin111111011111010…
…0011011101000000
312111110120211202100
41332332203131000
513330330433420
6551220150400
7103535324640
oct17676433500
95443524670
102130327360
119a3572527
124b5538400
1327c478b45
14162d02520
15c7058190
hex7efa3740

2130327360 has 336 divisors, whose sum is σ = 8427549312. Its totient is φ = 483840000.

The previous prime is 2130327349. The next prime is 2130327389. The reversal of 2130327360 is 637230312.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5059950 + ... + 5060370.

It is an arithmetic number, because the mean of its divisors is an integer number (25081992).

Almost surely, 22130327360 is an apocalyptic number.

2130327360 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 2130327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213774656).

2130327360 is an abundant number, since it is smaller than the sum of its proper divisors (6297221952).

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

2130327360 is a wasteful number, since it uses less digits than its factorization.

2130327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 2130327360 is about 46155.4694483763. The cubic root of 2130327360 is about 1286.7142629026.

Adding to 2130327360 its reverse (637230312), we get a palindrome (2767557672).

The spelling of 2130327360 in words is "two billion, one hundred thirty million, three hundred twenty-seven thousand, three hundred sixty".