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23968 = 257107
BaseRepresentation
bin101110110100000
31012212201
411312200
51231333
6302544
7126610
oct56640
935781
1023968
111700a
1211a54
13aba9
148a40
15717d
hex5da0

23968 has 24 divisors (see below), whose sum is σ = 54432. Its totient is φ = 10176.

The previous prime is 23957. The next prime is 23971. The reversal of 23968 is 86932.

23968 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a super-3 number, since 3×239683 = 41306333085696, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 171 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

223968 is an apocalyptic number.

23968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216).

23968 is an abundant number, since it is smaller than the sum of its proper divisors (30464).

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

23968 is a wasteful number, since it uses less digits than its factorization.

23968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 23968 is about 154.8160198429. The cubic root of 23968 is about 28.8321657080.

The spelling of 23968 in words is "twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3424 5992 11984 23968