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108729 = 334027
BaseRepresentation
bin11010100010111001
312112011000
4122202321
511434404
62155213
7631665
oct324271
9175130
10108729
1174765
1252b09
133a64a
142b8a5
1522339
hex1a8b9

108729 has 8 divisors (see below), whose sum is σ = 161120. Its totient is φ = 72468.

The previous prime is 108727. The next prime is 108739. The reversal of 108729 is 927801.

It is not a de Polignac number, because 108729 - 21 = 108727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4027 = 108729 / (1 + 0 + 8 + 7 + 2 + 9).

It is a Duffinian number.

108729 is a modest number, since divided by 729 gives 108 as remainder.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108729.

It is not an unprimeable number, because it can be changed into a prime (108727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1987 + ... + 2040.

It is an arithmetic number, because the mean of its divisors is an integer number (20140).

2108729 is an apocalyptic number.

It is an amenable number.

108729 is a deficient number, since it is larger than the sum of its proper divisors (52391).

108729 is an equidigital number, since it uses as much as digits as its factorization.

108729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 108729 is about 329.7408073017. The cubic root of 108729 is about 47.7289409435.

The spelling of 108729 in words is "one hundred eight thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 4027 12081 36243 108729