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87312105 = 3251940269
BaseRepresentation
bin1010011010001…
…00011011101001
320002021220200200
411031010123221
5134322441410
612355222413
72110066146
oct515043351
9202256620
1087312105
1145315971
12252a7a09
131512068a
14b84b3cd
1579ea3c0
hex53446e9

87312105 has 12 divisors (see below), whose sum is σ = 151341060. Its totient is φ = 46566432.

The previous prime is 87312073. The next prime is 87312139. The reversal of 87312105 is 50121378.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 75533481 = 3432^2 + 8691^2 .

It is not a de Polignac number, because 87312105 - 25 = 87312073 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 970090 + ... + 970179.

It is an arithmetic number, because the mean of its divisors is an integer number (12611755).

Almost surely, 287312105 is an apocalyptic number.

It is an amenable number.

87312105 is a deficient number, since it is larger than the sum of its proper divisors (64028955).

87312105 is a wasteful number, since it uses less digits than its factorization.

87312105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940280 (or 1940277 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 87312105 is about 9344.0946591952. The cubic root of 87312105 is about 443.6339965240.

The spelling of 87312105 in words is "eighty-seven million, three hundred twelve thousand, one hundred five".

Divisors: 1 3 5 9 15 45 1940269 5820807 9701345 17462421 29104035 87312105