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24066 = 2327191
BaseRepresentation
bin101111000000010
31020000100
411320002
51232231
6303230
7130110
oct57002
936010
1024066
1117099
1211b16
13ac53
148ab0
1571e6
hex5e02

24066 has 24 divisors (see below), whose sum is σ = 59904. Its totient is φ = 6840.

The previous prime is 24061. The next prime is 24071. The reversal of 24066 is 66042.

24066 = T28 + T29 + ... + T54.

It is an interprime number because it is at equal distance from previous prime (24061) and next prime (24071).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (24061) 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, 31 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (2496).

224066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952).

24066 is an abundant number, since it is smaller than the sum of its proper divisors (35838).

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

24066 is a wasteful number, since it uses less digits than its factorization.

24066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 24066 is about 155.1322016862. The cubic root of 24066 is about 28.8714084474.

The spelling of 24066 in words is "twenty-four thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 2674 3438 4011 8022 12033 24066