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24013 = 113759
BaseRepresentation
bin101110111001101
31012221101
411313031
51232023
6303101
7130003
oct56715
935841
1024013
1117050
1211a91
13ac12
148a73
hex5dcd

24013 has 8 divisors (see below), whose sum is σ = 27360. Its totient is φ = 20880.

The previous prime is 24007. The next prime is 24019. The reversal of 24013 is 31042.

Adding to 24013 its reverse (31042), we get a palindrome (55055).

It can be divided in two parts, 240 and 13, that added together give a triangular number (253 = T22).

It is an interprime number because it is at equal distance from previous prime (24007) and next prime (24019).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 24013 - 25 = 23981 is a prime.

It is a deceptive number, since it divides R24012.

It is a Duffinian number.

24013 is a lucky number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 378 + ... + 436.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

224013 is an apocalyptic number.

It is an amenable number.

24013 is a deficient number, since it is larger than the sum of its proper divisors (3347).

24013 is a wasteful number, since it uses less digits than its factorization.

24013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 24013 is about 154.9612854877. The cubic root of 24013 is about 28.8501985895.

The spelling of 24013 in words is "twenty-four thousand, thirteen".

Divisors: 1 11 37 59 407 649 2183 24013