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2139894000 = 243253196257
BaseRepresentation
bin111111110001100…
…0011000011110000
312112010120212201100
41333203003003300
513340303102000
6552201204400
7104012541006
oct17743030360
95463525640
102139894000
119a8a07042
124b8790700
1328144838a
141642b2a76
15c7ce7a00
hex7f8c30f0

2139894000 has 240 divisors, whose sum is σ = 7868558880. Its totient is φ = 540518400.

The previous prime is 2139893999. The next prime is 2139894007. The reversal of 2139894000 is 4989312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139894007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338872 + ... + 345128.

It is an arithmetic number, because the mean of its divisors is an integer number (32785662).

Almost surely, 22139894000 is an apocalyptic number.

2139894000 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 2139894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934279440).

2139894000 is an abundant number, since it is smaller than the sum of its proper divisors (5728664880).

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

2139894000 is a wasteful number, since it uses less digits than its factorization.

2139894000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2139894000 is about 46258.9883157857. The cubic root of 2139894000 is about 1288.6374652707.

The spelling of 2139894000 in words is "two billion, one hundred thirty-nine million, eight hundred ninety-four thousand".