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2139863040 = 211325731107
BaseRepresentation
bin111111110001011…
…1011100000000000
312112010112022020200
41333202323200000
513340301104130
6552200405200
7104012351520
oct17742734000
95463468220
102139863040
119a8995857
124b8776800
13281437263
141642a5680
15c7cdd760
hex7f8bb800

2139863040 has 576 divisors, whose sum is σ = 8831047680. Its totient is φ = 468910080.

The previous prime is 2139862993. The next prime is 2139863111. The reversal of 2139863040 is 403689312.

2139863040 is a `hidden beast` number, since 2 + 13 + 9 + 8 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 2139862986 and 2139863004.

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, 19998667 + ... + 19998773.

It is an arithmetic number, because the mean of its divisors is an integer number (15331680).

Almost surely, 22139863040 is an apocalyptic number.

2139863040 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 2139863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415523840).

2139863040 is an abundant number, since it is smaller than the sum of its proper divisors (6691184640).

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

2139863040 is a wasteful number, since it uses less digits than its factorization.

2139863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2139863040 is about 46258.6536769068. The cubic root of 2139863040 is about 1288.6312505691.

The spelling of 2139863040 in words is "two billion, one hundred thirty-nine million, eight hundred sixty-three thousand, forty".