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6024 = 233251
BaseRepresentation
bin1011110001000
322021010
41132020
5143044
643520
723364
oct13610
98233
106024
114587
1235a0
132985
1422a4
151bb9
hex1788

6024 has 16 divisors (see below), whose sum is σ = 15120. Its totient is φ = 2000.

The previous prime is 6011. The next prime is 6029. The reversal of 6024 is 4206.

6024 = T32 + T33 + ... + T40.

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

It is an Ulam number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (6029) 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, 102 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

26024 is an apocalyptic number.

It is an amenable number.

6024 is an abundant number, since it is smaller than the sum of its proper divisors (9096).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

6024 is a wasteful number, since it uses less digits than its factorization.

6024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6024 is about 77.6144316477. The cubic root of 6024 is about 18.1954019701.

It can be divided in two parts, 602 and 4, that added together give a palindrome (606).

The spelling of 6024 in words is "six thousand, twenty-four".
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