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13104224 = 257193079
BaseRepresentation
bin110001111111…
…010001100000
3220122202121122
4301333101200
511323313344
61144511412
7216245510
oct61772140
926582548
1013104224
117440441
12447b568
13293a7a3
141a51840
15123caee
hexc7f460

13104224 has 48 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 5318784.

The previous prime is 13104209. The next prime is 13104251. The reversal of 13104224 is 42240131.

13104224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2717 + ... + 5795.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 213104224 is an apocalyptic number.

13104224 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 13104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

13104224 is an abundant number, since it is smaller than the sum of its proper divisors (17942176).

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

13104224 is a wasteful number, since it uses less digits than its factorization.

13104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 13104224 is about 3619.9756905261. The cubic root of 13104224 is about 235.7601700347.

Adding to 13104224 its reverse (42240131), we get a palindrome (55344355).

The spelling of 13104224 in words is "thirteen million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 3079 4256 6158 12316 21553 24632 43106 49264 58501 86212 98528 117002 172424 234004 344848 409507 468008 689696 819014 936016 1638028 1872032 3276056 6552112 13104224