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104329 = 172192
BaseRepresentation
bin11001011110001001
312022010001
4121132021
511314304
62123001
7613111
oct313611
9168101
10104329
1171425
1250461
1338644
142a041
1520da4
hex19789

104329 has 9 divisors (see below), whose sum is σ = 116967. Its totient is φ = 93024.

The previous prime is 104327. The next prime is 104347. The reversal of 104329 is 923401.

104329 = T322 + T323.

104329 = 93 + 103 + ... + 253.

The square root of 104329 is 323.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81225 + 23104 = 285^2 + 152^2 .

It is not a de Polignac number, because 104329 - 21 = 104327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104323) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5482 + ... + 5500.

104329 is a Friedman number, since it can be written as (310+9+4)^2, using all its digits and the basic arithmetic operations.

2104329 is an apocalyptic number.

104329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

104329 is the 323-rd square number.

104329 is the 162-nd centered octagonal number.

It is an amenable number.

104329 is a deficient number, since it is larger than the sum of its proper divisors (12638).

104329 is an equidigital number, since it uses as much as digits as its factorization.

104329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 104329 is about 47.0762306008.

The spelling of 104329 in words is "one hundred four thousand, three hundred twenty-nine".

Divisors: 1 17 19 289 323 361 5491 6137 104329