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12044000 = 25533011
BaseRepresentation
bin101101111100…
…011011100000
3211122220021002
4231330123200
511040402000
61110051132
7204241463
oct55743340
924586232
1012044000
116886921
124049aa8
132659037
1418572da
1510cd8d5
hexb7c6e0

12044000 has 48 divisors (see below), whose sum is σ = 29601936. Its totient is φ = 4816000.

The previous prime is 12043979. The next prime is 12044029. The reversal of 12044000 is 44021.

It is a super-3 number, since 3×120440003 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2495 + ... + 5505.

It is an arithmetic number, because the mean of its divisors is an integer number (616707).

Almost surely, 212044000 is an apocalyptic number.

12044000 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 12044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14800968).

12044000 is an abundant number, since it is smaller than the sum of its proper divisors (17557936).

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

12044000 is an equidigital number, since it uses as much as digits as its factorization.

12044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12044000 is about 3470.4466571322. The cubic root of 12044000 is about 229.2223262417. Note that the first 3 decimals are identical.

Adding to 12044000 its reverse (44021), we get a palindrome (12088021).

The spelling of 12044000 in words is "twelve million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3011 4000 6022 12044 15055 24088 30110 48176 60220 75275 96352 120440 150550 240880 301100 376375 481760 602200 752750 1204400 1505500 2408800 3011000 6022000 12044000