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11444000 = 25532861
BaseRepresentation
bin101011101001…
…111100100000
3210112102012212
4223221330200
510412202000
61045141252
7166162301
oct53517440
923472185
1011444000
116507057
1239ba828
1324a8bc9
14173c7a8
151010c35
hexae9f20

11444000 has 48 divisors (see below), whose sum is σ = 28127736. Its totient is φ = 4576000.

The previous prime is 11443997. The next prime is 11444003. The reversal of 11444000 is 44411.

11444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11443997) and next prime (11444003).

It can be written as a sum of positive squares in 4 ways, for example, as 3671056 + 7772944 = 1916^2 + 2788^2 .

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11444003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2570 + ... + 5430.

Almost surely, 211444000 is an apocalyptic number.

11444000 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 11444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063868).

11444000 is an abundant number, since it is smaller than the sum of its proper divisors (16683736).

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

11444000 is an equidigital number, since it uses as much as digits as its factorization.

11444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 11444000 is about 3382.8981657744. The cubic root of 11444000 is about 225.3508928191.

Adding to 11444000 its reverse (44411), we get a palindrome (11488411).

The spelling of 11444000 in words is "eleven million, four hundred 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 2861 4000 5722 11444 14305 22888 28610 45776 57220 71525 91552 114440 143050 228880 286100 357625 457760 572200 715250 1144400 1430500 2288800 2861000 5722000 11444000