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23720 = 235593

23720 has 16 divisors (see below), whose sum is σ = 53460. Its totient is φ = 9472.

The previous prime is 23719. The next prime is 23741. The reversal of 23720 is 2732.

23720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 4 = 154^2 + 2^2 .

23720 is strictly pandigital in base 6.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 23695 and 23704.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23720.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 257 + ... + 336.

223720 is an apocalyptic number.

23720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23720 is an abundant number, since it is smaller than the sum of its proper divisors (29740).

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 (26730).

23720 is a wasteful number, since it uses less digits than its factorization.

23720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 23720 is about 154.0129864654. The cubic root of 23720 is about 28.7323773540.

The spelling of 23720 in words is "twenty-three thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 40 593 1186 2372 2965 4744 5930 11860 23720