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11014144 = 2122689
BaseRepresentation
bin101010000001…
…000000000000
3202201120120021
4222001000000
510304423034
61032023224
7162422131
oct52010000
922646507
1011014144
1162430a9
123831b14
13238835b
141669c88
15e786b4
hexa81000

11014144 has 26 divisors (see below), whose sum is σ = 22033790. Its totient is φ = 5505024.

The previous prime is 11014141. The next prime is 11014169. The reversal of 11014144 is 44141011.

It can be written as a sum of positive squares in only one way, i.e., 6553600 + 4460544 = 2560^2 + 2112^2 .

It is a super-2 number, since 2×110141442 = 242622736105472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11014141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2752 + ... + 5440.

Almost surely, 211014144 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 11014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016895).

11014144 is an abundant number, since it is smaller than the sum of its proper divisors (11019646).

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

11014144 is an frugal number, since it uses more digits than its factorization.

11014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 11014144 is about 3318.7563935908. The cubic root of 11014144 is about 222.4932893654.

Adding to 11014144 its reverse (44141011), we get a palindrome (55155155).

The spelling of 11014144 in words is "eleven million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2689 4096 5378 10756 21512 43024 86048 172096 344192 688384 1376768 2753536 5507072 11014144