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12118144 = 27175569
BaseRepresentation
bin101110001110…
…100010000000
3211210122222011
4232032202000
511100240034
61111422304
7205000603
oct56164200
924718864
1012118144
1169275a5
124084994
1326839cc
14187633a
1510e5864
hexb8e880

12118144 has 32 divisors (see below), whose sum is σ = 25566300. Its totient is φ = 5701632.

The previous prime is 12118111. The next prime is 12118153. The reversal of 12118144 is 44181121.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 7744 = 3480^2 + 88^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 609 + ... + 4960.

Almost surely, 212118144 is an apocalyptic number.

It is an amenable number.

12118144 is an abundant number, since it is smaller than the sum of its proper divisors (13448156).

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

12118144 is an equidigital number, since it uses as much as digits as its factorization.

12118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5588 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 12118144 is about 3481.1124658649. The cubic root of 12118144 is about 229.6917357326.

Adding to 12118144 its reverse (44181121), we get a palindrome (56299265).

The spelling of 12118144 in words is "twelve million, one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 5569 11138 22276 44552 89104 94673 178208 189346 356416 378692 712832 757384 1514768 3029536 6059072 12118144