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2160787104 = 25357253107
BaseRepresentation
bin1000000011001010…
…1111111010100000
312120120220100200000
42000302233322200
513411130141404
6554225100000
7104355246600
oct20062577240
95516810600
102160787104
11a09787373
12503787600
13285882168
14166d90c00
15c9a73339
hex80cafea0

2160787104 has 432 divisors, whose sum is σ = 7623147168. Its totient is φ = 600058368.

The previous prime is 2160787099. The next prime is 2160787117. The reversal of 2160787104 is 4017870612.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20194219 + ... + 20194325.

It is an arithmetic number, because the mean of its divisors is an integer number (17646174).

Almost surely, 22160787104 is an apocalyptic number.

2160787104 is a gapful number since it is divisible by the number (24) 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 2160787104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811573584).

2160787104 is an abundant number, since it is smaller than the sum of its proper divisors (5462360064).

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

2160787104 is a wasteful number, since it uses less digits than its factorization.

2160787104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2160787104 is about 46484.2672739928. The cubic root of 2160787104 is about 1292.8178101511.

The spelling of 2160787104 in words is "two billion, one hundred sixty million, seven hundred eighty-seven thousand, one hundred four".