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11894144 = 27432161
BaseRepresentation
bin101101010111…
…110110000000
3211101021200212
4231113312000
511021103034
61102533252
7203045543
oct55276600
924337625
1011894144
116794279
123b97228
132605a72
14181885a
15109e2ce
hexb57d80

11894144 has 32 divisors (see below), whose sum is σ = 24257640. Its totient is φ = 5806080.

The previous prime is 11894117. The next prime is 11894159. The reversal of 11894144 is 44149811.

11894144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×118941442 = 282941322985472, which contains 22 as substring.

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 11894144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4424 + ... + 6584.

Almost surely, 211894144 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 11894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128820).

11894144 is an abundant number, since it is smaller than the sum of its proper divisors (12363496).

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

11894144 is an equidigital number, since it uses as much as digits as its factorization.

11894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2206 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 11894144 is about 3448.7887728882. The cubic root of 11894144 is about 228.2676655365.

The spelling of 11894144 in words is "eleven million, eight hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2161 2752 4322 5504 8644 17288 34576 69152 92923 138304 185846 276608 371692 743384 1486768 2973536 5947072 11894144