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12184144 = 247215541
BaseRepresentation
bin101110011110…
…101001010000
3211221000111121
4232132221100
511104343034
61113052024
7205364200
oct56365120
924830447
1012184144
116972145
1240b7014
1326a7a6b
141892400
15110a1b4
hexb9ea50

12184144 has 30 divisors (see below), whose sum is σ = 27462714. Its totient is φ = 5221440.

The previous prime is 12184127. The next prime is 12184157. The reversal of 12184144 is 44148121.

12184144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11478544 + 705600 = 3388^2 + 840^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 6987 + ... + 8554.

Almost surely, 212184144 is an apocalyptic number.

12184144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12184144 is an abundant number, since it is smaller than the sum of its proper divisors (15278570).

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

12184144 is a wasteful number, since it uses less digits than its factorization.

12184144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15563 (or 15550 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 12184144 is about 3490.5793215454. The cubic root of 12184144 is about 230.1079770259.

The spelling of 12184144 in words is "twelve million, one hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 15541 31082 62164 108787 124328 217574 248656 435148 761509 870296 1523018 1740592 3046036 6092072 12184144