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24940 = 2252943
BaseRepresentation
bin110000101101100
31021012201
412011230
51244230
6311244
7132466
oct60554
937181
1024940
1117813
1212524
13b476
149136
1575ca
hex616c

24940 has 24 divisors (see below), whose sum is σ = 55440. Its totient is φ = 9408.

The previous prime is 24923. The next prime is 24943. The reversal of 24940 is 4942.

It is not an unprimeable number, because it can be changed into a prime (24943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

224940 is an apocalyptic number.

24940 is a gapful number since it is divisible by the number (20) 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 24940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27720).

24940 is an abundant number, since it is smaller than the sum of its proper divisors (30500).

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

24940 is a wasteful number, since it uses less digits than its factorization.

24940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 24940 is about 157.9240323700. The cubic root of 24940 is about 29.2167665015.

It can be divided in two parts, 249 and 40, that added together give a square (289 = 172).

The spelling of 24940 in words is "twenty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 2494 4988 6235 12470 24940