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24620 = 2251231
BaseRepresentation
bin110000000101100
31020202212
412000230
51241440
6305552
7131531
oct60054
936685
1024620
1117552
12122b8
13b28b
148d88
157465
hex602c

24620 has 12 divisors (see below), whose sum is σ = 51744. Its totient is φ = 9840.

The previous prime is 24611. The next prime is 24623. The reversal of 24620 is 2642.

It is a super-2 number, since 2×246202 = 1212288800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 23 + 47 + 62 + 213 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 24595 and 24604.

It is not an unprimeable number, because it can be changed into a prime (24623) by changing a digit.

24620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 596 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

224620 is an apocalyptic number.

24620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24620 is an abundant number, since it is smaller than the sum of its proper divisors (27124).

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 (25872).

24620 is a wasteful number, since it uses less digits than its factorization.

24620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 24620 is about 156.9076161313. The cubic root of 24620 is about 29.0912701186.

The spelling of 24620 in words is "twenty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 1231 2462 4924 6155 12310 24620