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23730 = 2357113

23730 has 32 divisors (see below), whose sum is σ = 65664. Its totient is φ = 5376.

The previous prime is 23719. The next prime is 23741. The reversal of 23730 is 3732.

23730 = 72 + 82 + ... + 412.

23730 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (23719) and next prime (23741).

It is a super-2 number, since 2×237302 = 1126225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

23730 is an undulating number in base 15.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

23730 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (2052).

223730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832).

23730 is an abundant number, since it is smaller than the sum of its proper divisors (41934).

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

23730 is a wasteful number, since it uses less digits than its factorization.

23730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 23730 is about 154.0454478393. The cubic root of 23730 is about 28.7364145013.

The spelling of 23730 in words is "twenty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 2373 3390 3955 4746 7910 11865 23730