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5135120 = 24564189
BaseRepresentation
bin10011100101101100010000
3100122220001122
4103211230100
52303310440
6302021412
761435124
oct23455420
910586048
105135120
112998101
121877868
1310aa443
14979584
156b67b5
hex4e5b10

5135120 has 20 divisors (see below), whose sum is σ = 11939340. Its totient is φ = 2054016.

The previous prime is 5135113. The next prime is 5135129. The reversal of 5135120 is 215315.

It can be written as a sum of positive squares in 2 ways, for example, as 2676496 + 2458624 = 1636^2 + 1568^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (5135129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32015 + ... + 32174.

It is an arithmetic number, because the mean of its divisors is an integer number (596967).

Almost surely, 25135120 is an apocalyptic number.

It is an amenable number.

5135120 is an abundant number, since it is smaller than the sum of its proper divisors (6804220).

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

5135120 is a wasteful number, since it uses less digits than its factorization.

5135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64202 (or 64196 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5135120 is about 2266.0803163171. The cubic root of 5135120 is about 172.5242701971.

The spelling of 5135120 in words is "five million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 64189 128378 256756 320945 513512 641890 1027024 1283780 2567560 5135120