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2143659840 = 263572199229
BaseRepresentation
bin111111111000101…
…1010011101000000
312112101200012110220
41333301122131000
513342234103330
6552414023040
7104056544100
oct17761323500
95471605426
102143659840
11a00049403
124b9aa7a80
1328216649a
141649b3200
15c82dd710
hex7fc5a740

2143659840 has 336 divisors, whose sum is σ = 7991856000. Its totient is φ = 485388288.

The previous prime is 2143659839. The next prime is 2143659877. The reversal of 2143659840 is 489563412.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2143659792 and 2143659801.

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 47 ways as a sum of consecutive naturals, for example, 9360846 + ... + 9361074.

Almost surely, 22143659840 is an apocalyptic number.

2143659840 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 2143659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995928000).

2143659840 is an abundant number, since it is smaller than the sum of its proper divisors (5848196160).

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

2143659840 is a wasteful number, since it uses less digits than its factorization.

2143659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2143659840 is about 46299.6742969106. The cubic root of 2143659840 is about 1289.3929479562.

The spelling of 2143659840 in words is "two billion, one hundred forty-three million, six hundred fifty-nine thousand, eight hundred forty".