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12944128 = 2859857
BaseRepresentation
bin110001011000…
…001100000000
3220100122000011
4301120030000
511303203003
61141234304
7215010661
oct61301400
926318004
1012944128
11734112a
124402994
1328b2962
141a0d368
15120a46d
hexc58300

12944128 has 36 divisors (see below), whose sum is σ = 26306280. Its totient is φ = 6354944.

The previous prime is 12944119. The next prime is 12944153. The reversal of 12944128 is 82144921.

It is a self number, because there is not a number n which added to its sum of digits gives 12944128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14676 + ... + 15532.

It is an arithmetic number, because the mean of its divisors is an integer number (730730).

Almost surely, 212944128 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 12944128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153140).

12944128 is an abundant number, since it is smaller than the sum of its proper divisors (13362152).

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

12944128 is an frugal number, since it uses more digits than its factorization.

12944128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 12944128 is about 3597.7948802009. The cubic root of 12944128 is about 234.7961292069.

The spelling of 12944128 in words is "twelve million, nine hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 857 944 1714 1888 3428 3776 6856 7552 13712 15104 27424 50563 54848 101126 109696 202252 219392 404504 809008 1618016 3236032 6472064 12944128