Search a number
-
+
104804 = 22719197
BaseRepresentation
bin11001100101100100
312022202122
4121211210
511323204
62125112
7614360
oct314544
9168678
10104804
1171817
1250798
133891b
142a2a0
15210be
hex19964

104804 has 24 divisors (see below), whose sum is σ = 221760. Its totient is φ = 42336.

The previous prime is 104803. The next prime is 104827. The reversal of 104804 is 408401.

It is a happy number.

104804 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (104801) 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, 434 + ... + 630.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2104804 is an apocalyptic number.

104804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

104804 is an abundant number, since it is smaller than the sum of its proper divisors (116956).

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

104804 is a wasteful number, since it uses less digits than its factorization.

104804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 104804 is about 323.7344590865. The cubic root of 104804 is about 47.1475669788.

The spelling of 104804 in words is "one hundred four thousand, eight hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 133 197 266 394 532 788 1379 2758 3743 5516 7486 14972 26201 52402 104804