23970 has 32 divisors (see below), whose sum is σ = 62208. Its totient is φ = 5888.

The previous prime is 23957. The next prime is 23971. The reversal of 23970 is 7932.

23970 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

23970 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

2^{23970} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104).

23970 is an abundant number, since it is smaller than the sum of its proper divisors (38238).

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

23970 is a wasteful number, since it uses less digits than its factorization.

23970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 23970 is about 154.8224789880. The cubic root of 23970 is about 28.8329676484.

The spelling of 23970 in words is "twenty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 510 705 799 1410 1598 2397 3995 4794 7990 11985 23970

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