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2113812960 = 25357337347
BaseRepresentation
bin111110111111110…
…0011100111100000
312110022111211020220
41331333203213200
513312114003320
6545430203040
7103245054000
oct17577434740
95408454226
102113812960
11995212a66
124abab3480
13278c160cc
14160a44000
15c5894e40
hex7dfe39e0

2113812960 has 384 divisors, whose sum is σ = 7997875200. Its totient is φ = 468744192.

The previous prime is 2113812919. The next prime is 2113812971. The reversal of 2113812960 is 692183112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6091507 + ... + 6091853.

It is an arithmetic number, because the mean of its divisors is an integer number (20827800).

Almost surely, 22113812960 is an apocalyptic number.

2113812960 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 2113812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998937600).

2113812960 is an abundant number, since it is smaller than the sum of its proper divisors (5884062240).

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

2113812960 is a wasteful number, since it uses less digits than its factorization.

2113812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2113812960 is about 45976.2216803425. The cubic root of 2113812960 is about 1283.3807438867.

The spelling of 2113812960 in words is "two billion, one hundred thirteen million, eight hundred twelve thousand, nine hundred sixty".