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104004 = 2235107
BaseRepresentation
bin11001011001000100
312021200000
4121121010
511312004
62121300
7612135
oct313104
9167600
10104004
117115a
1250230
1338454
1429c8c
1520c39
hex19644

104004 has 36 divisors (see below), whose sum is σ = 275184. Its totient is φ = 34344.

The previous prime is 104003. The next prime is 104009. The reversal of 104004 is 400401.

Adding to 104004 its reverse (400401), we get a palindrome (504405).

It can be divided in two parts, 10400 and 4, that added together give a square (10404 = 1022).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (104003) 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 11 ways as a sum of consecutive naturals, for example, 919 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2104004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

104004 is an abundant number, since it is smaller than the sum of its proper divisors (171180).

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

104004 is a wasteful number, since it uses less digits than its factorization.

104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 104004 is about 322.4965116090. The cubic root of 104004 is about 47.0272966530.

The spelling of 104004 in words is "one hundred four thousand, four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 963 972 1284 1926 2889 3852 5778 8667 11556 17334 26001 34668 52002 104004