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24330820 = 2258913669
BaseRepresentation
bin101110011010…
…0001001000100
31200210010121111
41130310021010
522212041240
62225254404
7413544223
oct134641104
950703544
1024330820
1112809118
128194404
13506b747
143334cba
1522091ea
hex1734244

24330820 has 24 divisors (see below), whose sum is σ = 51672600. Its totient is φ = 9622272.

The previous prime is 24330769. The next prime is 24330829. The reversal of 24330820 is 2803342.

It can be written as a sum of positive squares in 4 ways, for example, as 1976836 + 22353984 = 1406^2 + 4728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24330791 and 24330800.

It is not an unprimeable number, because it can be changed into a prime (24330829) 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, 5055 + ... + 8614.

It is an arithmetic number, because the mean of its divisors is an integer number (2153025).

Almost surely, 224330820 is an apocalyptic number.

24330820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24330820 is an abundant number, since it is smaller than the sum of its proper divisors (27341780).

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

24330820 is a wasteful number, since it uses less digits than its factorization.

24330820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13767 (or 13765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 24330820 is about 4932.6281027460. The cubic root of 24330820 is about 289.7692178984.

The spelling of 24330820 in words is "twenty-four million, three hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 13669 27338 54676 68345 136690 273380 1216541 2433082 4866164 6082705 12165410 24330820