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87135165 = 32513148949
BaseRepresentation
bin1010011000110…
…01001110111101
320001221220222100
411030121032331
5134301311130
612351335313
72105431245
oct514311675
9201856870
1087135165
1145204a37
1225221539
131508ac90
14b802b25
1579b2c60
hex53193bd

87135165 has 24 divisors (see below), whose sum is σ = 162653400. Its totient is φ = 42897024.

The previous prime is 87135161. The next prime is 87135229. The reversal of 87135165 is 56153178.

It can be written as a sum of positive squares in 4 ways, for example, as 11758041 + 75377124 = 3429^2 + 8682^2 .

It is not a de Polignac number, because 87135165 - 22 = 87135161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87135161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73890 + ... + 75059.

It is an arithmetic number, because the mean of its divisors is an integer number (6777225).

Almost surely, 287135165 is an apocalyptic number.

It is an amenable number.

87135165 is a deficient number, since it is larger than the sum of its proper divisors (75518235).

87135165 is a wasteful number, since it uses less digits than its factorization.

87135165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148973 (or 148970 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 87135165 is about 9334.6218455811. The cubic root of 87135165 is about 443.3341156763.

The spelling of 87135165 in words is "eighty-seven million, one hundred thirty-five thousand, one hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 148949 446847 744745 1340541 1936337 2234235 5809011 6702705 9681685 17427033 29045055 87135165