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109314 = 2326073
BaseRepresentation
bin11010101100000010
312112221200
4122230002
511444224
62202030
7633462
oct325402
9175850
10109314
1175147
1253316
133a9aa
142bba2
15225c9
hex1ab02

109314 has 12 divisors (see below), whose sum is σ = 236886. Its totient is φ = 36432.

The previous prime is 109313. The next prime is 109321. The reversal of 109314 is 413901.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 38025 = 267^2 + 195^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6073 = 109314 / (1 + 0 + 9 + 3 + 1 + 4).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109314.

It is not an unprimeable number, because it can be changed into a prime (109313) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3019 + ... + 3054.

2109314 is an apocalyptic number.

109314 is an abundant number, since it is smaller than the sum of its proper divisors (127572).

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

109314 is a wasteful number, since it uses less digits than its factorization.

109314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 109314 is about 330.6266776895. The cubic root of 109314 is about 47.8143873406.

The spelling of 109314 in words is "one hundred nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 6073 12146 18219 36438 54657 109314