Search a number
-
+
24012 = 22322329
BaseRepresentation
bin101110111001100
31012221100
411313030
51232022
6303100
7130002
oct56714
935840
1024012
111704a
1211a90
13ac11
148a72
1571ac
hex5dcc

24012 has 36 divisors (see below), whose sum is σ = 65520. Its totient is φ = 7392.

The previous prime is 24007. The next prime is 24019. The reversal of 24012 is 21042.

Adding to 24012 its reverse (21042), we get a palindrome (45054).

It can be divided in two parts, 240 and 12, that added together give a palindrome (252).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×240122 = 1153152288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 23985 and 24003.

It is not an unprimeable number, because it can be changed into a prime (24019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 814 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

224012 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 24012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760).

24012 is an abundant number, since it is smaller than the sum of its proper divisors (41508).

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

24012 is a wasteful number, since it uses less digits than its factorization.

24012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 24012 is about 154.9580588417. The cubic root of 24012 is about 28.8497981037.

The spelling of 24012 in words is "twenty-four thousand, twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 4002 6003 8004 12006 24012