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2143960000 = 26547131931
BaseRepresentation
bin111111111001010…
…0011101111000000
312112102020110012221
41333302203233000
513342323210000
6552424300424
7104062234150
oct17762435700
95472213187
102143960000
11a00233976
124ba011714
1328223ccb0
14164a50760
15c834c61a
hex7fca3bc0

2143960000 has 560 divisors, whose sum is σ = 7109724160. Its totient is φ = 622080000.

The previous prime is 2143959997. The next prime is 2143960009. The reversal of 2143960000 is 693412.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143960009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69159985 + ... + 69160015.

It is an arithmetic number, because the mean of its divisors is an integer number (12695936).

Almost surely, 22143960000 is an apocalyptic number.

2143960000 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 2143960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554862080).

2143960000 is an abundant number, since it is smaller than the sum of its proper divisors (4965764160).

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

2143960000 is a wasteful number, since it uses less digits than its factorization.

2143960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2143960000 is about 46302.9156749335. The cubic root of 2143960000 is about 1289.4531263665.

The spelling of 2143960000 in words is "two billion, one hundred forty-three million, nine hundred sixty thousand".