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13218944 = 27611693
BaseRepresentation
bin110010011011…
…010010000000
3220212120222112
4302123102000
511341001234
61151154452
7220234124
oct62332200
926776875
1013218944
117509652
124515a28
13297aa7b
141a81584
151261ace
hexc9b480

13218944 has 32 divisors (see below), whose sum is σ = 26782140. Its totient is φ = 6497280.

The previous prime is 13218943. The next prime is 13218967. The reversal of 13218944 is 44981231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11560000 + 1658944 = 3400^2 + 1288^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13218944.

It is not an unprimeable number, because it can be changed into a prime (13218943) 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, 6962 + ... + 8654.

Almost surely, 213218944 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 13218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391070).

13218944 is an abundant number, since it is smaller than the sum of its proper divisors (13563196).

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

13218944 is an equidigital number, since it uses as much as digits as its factorization.

13218944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1756 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 13218944 is about 3635.7865723939. The cubic root of 13218944 is about 236.4461540110.

The spelling of 13218944 in words is "thirteen million, two hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1693 1952 3386 3904 6772 7808 13544 27088 54176 103273 108352 206546 216704 413092 826184 1652368 3304736 6609472 13218944