Search a number
-
+
104319 = 3267173
BaseRepresentation
bin11001011101111111
312022002200
4121131333
511314234
62122543
7613065
oct313577
9168080
10104319
1171416
1250453
1338637
142a035
1520d99
hex1977f

104319 has 12 divisors (see below), whose sum is σ = 153816. Its totient is φ = 68112.

The previous prime is 104311. The next prime is 104323. The reversal of 104319 is 913401.

It is not a de Polignac number, because 104319 - 23 = 104311 is a prime.

It is a super-2 number, since 2×1043192 = 21764907522, which contains 22 as substring.

It is an Ulam number.

104319 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (12818).

2104319 is an apocalyptic number.

104319 is the 173-rd nonagonal number.

104319 is a deficient number, since it is larger than the sum of its proper divisors (49497).

104319 is a wasteful number, since it uses less digits than its factorization.

104319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

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

The square root of 104319 is about 322.9845197529. The cubic root of 104319 is about 47.0747264573.

It can be divided in two parts, 10431 and 9, that added together give a triangular number (10440 = T144).

The spelling of 104319 in words is "one hundred four thousand, three hundred nineteen".

Divisors: 1 3 9 67 173 201 519 603 1557 11591 34773 104319