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12444160 = 2954861
BaseRepresentation
bin101111011110…
…001000000000
3212102020011211
4233132020000
511141203120
61122415504
7210526231
oct57361000
925366154
1012444160
11702a533
124201594
132769211
14191d088
15115c25a
hexbde200

12444160 has 40 divisors (see below), whose sum is σ = 29842956. Its totient is φ = 4976640.

The previous prime is 12444139. The next prime is 12444163. The reversal of 12444160 is 6144421.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 389376 = 3472^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12444163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130 + ... + 4990.

Almost surely, 212444160 is an apocalyptic number.

12444160 is a gapful number since it is divisible by the number (10) 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 12444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921478).

12444160 is an abundant number, since it is smaller than the sum of its proper divisors (17398796).

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

12444160 is an frugal number, since it uses more digits than its factorization.

12444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12444160 is about 3527.6280983120. The cubic root of 12444160 is about 231.7333440448.

Adding to 12444160 its reverse (6144421), we get a palindrome (18588581).

The spelling of 12444160 in words is "twelve million, four hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4861 9722 19444 24305 38888 48610 77776 97220 155552 194440 311104 388880 622208 777760 1244416 1555520 2488832 3111040 6222080 12444160