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87105141 = 3237261577
BaseRepresentation
bin1010011000100…
…01111001110101
320001220101210100
411030101321311
5134244331031
612350544313
72105244564
oct514217165
9201811710
1087105141
1145194422
1225208099
131507a406
14b7d5bdb
1579a8de6
hex5311e75

87105141 has 12 divisors (see below), whose sum is σ = 129219532. Its totient is φ = 56500416.

The previous prime is 87105103. The next prime is 87105149. The reversal of 87105141 is 14150178.

It can be written as a sum of positive squares in 2 ways, for example, as 61308900 + 25796241 = 7830^2 + 5079^2 .

It is not a de Polignac number, because 87105141 - 215 = 87072373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87105149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130456 + ... + 131121.

Almost surely, 287105141 is an apocalyptic number.

It is an amenable number.

87105141 is a deficient number, since it is larger than the sum of its proper divisors (42114391).

87105141 is a wasteful number, since it uses less digits than its factorization.

87105141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261620 (or 261617 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 87105141 is about 9333.0135004724. The cubic root of 87105141 is about 443.2831902258.

The spelling of 87105141 in words is "eighty-seven million, one hundred five thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 261577 784731 2354193 9678349 29035047 87105141