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88145 = 517261
BaseRepresentation
bin10101100001010001
311110220122
4111201101
510310040
61520025
7514661
oct254121
9143818
1088145
1160252
1243015
1331175
14241a1
151b1b5
hex15851

88145 has 12 divisors (see below), whose sum is σ = 114204. Its totient is φ = 65280.

The previous prime is 88129. The next prime is 88169. The reversal of 88145 is 54188.

88145 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 6 ways, for example, as 529 + 87616 = 23^2 + 296^2 .

It is not a de Polignac number, because 88145 - 24 = 88129 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1415 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (9517).

288145 is an apocalyptic number.

88145 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

88145 is a deficient number, since it is larger than the sum of its proper divisors (26059).

88145 is a wasteful number, since it uses less digits than its factorization.

88145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 88145 is about 296.8922363417. The cubic root of 88145 is about 44.5040184899.

The spelling of 88145 in words is "eighty-eight thousand, one hundred forty-five".

Divisors: 1 5 17 61 85 289 305 1037 1445 5185 17629 88145