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11414144 = 27712739
BaseRepresentation
bin101011100010…
…101010000000
3210110220021002
4223202222000
510410223034
61044351132
7166006250
oct53425200
923426232
1011414144
116496685
1239a54a8
132498441
141731960
151006e7e
hexae2a80

11414144 has 32 divisors (see below), whose sum is σ = 25989600. Its totient is φ = 4891392.

The previous prime is 11414129. The next prime is 11414149. The reversal of 11414144 is 44141411.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11414149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5474 + ... + 7265.

It is an arithmetic number, because the mean of its divisors is an integer number (812175).

Almost surely, 211414144 is an apocalyptic number.

11414144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11414144 is an abundant number, since it is smaller than the sum of its proper divisors (14575456).

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

11414144 is an equidigital number, since it uses as much as digits as its factorization.

11414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760 (or 12748 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 11414144 is about 3378.4824995847. The cubic root of 11414144 is about 225.1547511536.

Adding to 11414144 its reverse (44141411), we get a palindrome (55555555).

The spelling of 11414144 in words is "eleven million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 12739 25478 50956 89173 101912 178346 203824 356692 407648 713384 815296 1426768 1630592 2853536 5707072 11414144