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12447104 = 27472069
BaseRepresentation
bin101111011110…
…110110000000
3212102101012212
4233132312000
511141301404
61122441252
7210540635
oct57366600
925371185
1012447104
11703176a
124203228
13276a667
14192018c
15115d06e
hexbded80

12447104 has 32 divisors (see below), whose sum is σ = 25336800. Its totient is φ = 6088192.

The previous prime is 12447079. The next prime is 12447107. The reversal of 12447104 is 40174421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12447104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12447107) 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 3 ways as a sum of consecutive naturals, for example, 4982 + ... + 7050.

It is an arithmetic number, because the mean of its divisors is an integer number (791775).

Almost surely, 212447104 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 12447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668400).

12447104 is an abundant number, since it is smaller than the sum of its proper divisors (12889696).

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

12447104 is an equidigital number, since it uses as much as digits as its factorization.

12447104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 12447104 is about 3528.0453511824. The cubic root of 12447104 is about 231.7516168510.

The spelling of 12447104 in words is "twelve million, four hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 2069 3008 4138 6016 8276 16552 33104 66208 97243 132416 194486 264832 388972 777944 1555888 3111776 6223552 12447104