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2132190960 = 24358884129
BaseRepresentation
bin111111100010110…
…1010011011110000
312111121002112010120
41333011222123300
513331320102320
6551324130240
7103560216114
oct17705523360
95447075116
102132190960
119a4625699
124b6096980
1327c97c173
14163269744
15c72c5440
hex7f16a6f0

2132190960 has 40 divisors (see below), whose sum is σ = 6609792720. Its totient is φ = 568584192.

The previous prime is 2132190959. The next prime is 2132190967. The reversal of 2132190960 is 690912312.

2132190960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132190967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4441825 + ... + 4442304.

It is an arithmetic number, because the mean of its divisors is an integer number (165244818).

Almost surely, 22132190960 is an apocalyptic number.

2132190960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132190960 is an abundant number, since it is smaller than the sum of its proper divisors (4477601760).

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

2132190960 is a wasteful number, since it uses less digits than its factorization.

2132190960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884145 (or 8884139 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2132190960 is about 46175.6533251020. The cubic root of 2132190960 is about 1287.0893573373.

The spelling of 2132190960 in words is "two billion, one hundred thirty-two million, one hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8884129 17768258 26652387 35536516 44420645 53304774 71073032 88841290 106609548 133261935 142146064 177682580 213219096 266523870 355365160 426438192 533047740 710730320 1066095480 2132190960