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13104400 = 24521812
BaseRepresentation
bin110001111111…
…010100010000
3220122202212011
4301333110100
511323320100
61144512304
7216246151
oct61772420
926582764
1013104400
117440591
12447b694
13293a8aa
141a51928
15123cbba
hexc7f510

13104400 has 45 divisors (see below), whose sum is σ = 31658223. Its totient is φ = 5212800.

The previous prime is 13104389. The next prime is 13104437. The reversal of 13104400 is 440131.

The square root of 13104400 is 3620.

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

13104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7033104 + 6071296 = 2652^2 + 2464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72310 + ... + 72490.

Almost surely, 213104400 is an apocalyptic number.

13104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13104400 is the 3620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104400

13104400 is an abundant number, since it is smaller than the sum of its proper divisors (18553823).

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

13104400 is an equidigital number, since it uses as much as digits as its factorization.

13104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The cubic root of 13104400 is about 235.7612255113.

Adding to 13104400 its reverse (440131), we get a palindrome (13544531).

The spelling of 13104400 in words is "thirteen million, one hundred four thousand, four hundred".