11424 has 48 divisors (see below), whose sum is σ = 36288. Its totient is φ = 3072.

The previous prime is 11423. The next prime is 11437. The reversal of 11424 is 42411.

11424 = T_{7} + T_{8} + ... +
T_{40}.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (11423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

2^{11424} is an apocalyptic number.

11424 is a gapful number since it is divisible by the number (14) 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 11424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

11424 is an abundant number, since it is smaller than the sum of its proper divisors (24864).

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

11424 is a wasteful number, since it uses less digits than its factorization.

11424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 29 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 11424 is about 106.8831137271. The cubic root of 11424 is about 22.5219538807.

Adding to 11424 its reverse (42411), we get a palindrome (53835).

It can be divided in two parts, 11 and 424, that multiplied together give a palindrome (4664).

The spelling of 11424 in words is "eleven thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424

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