Search a number
-
+
23392 = 251743
BaseRepresentation
bin101101101100000
31012002101
411231200
51222032
6300144
7125125
oct55540
935071
1023392
1116636
1211654
13a855
14874c
156de7
hex5b60

23392 has 24 divisors (see below), whose sum is σ = 49896. Its totient is φ = 10752.

The previous prime is 23371. The next prime is 23399. The reversal of 23392 is 29332.

23392 is nontrivially palindromic in base 3.

It is an Ulam number.

It is a nialpdrome in base 8 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23399) by changing a digit.

23392 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 523 + ... + 565.

It is an arithmetic number, because the mean of its divisors is an integer number (2079).

23392 is a Friedman number, since it can be written as 32*(9^3+2), using all its digits and the basic arithmetic operations.

223392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948).

23392 is an abundant number, since it is smaller than the sum of its proper divisors (26504).

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

23392 is a wasteful number, since it uses less digits than its factorization.

23392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 23392 is about 152.9444343544. The cubic root of 23392 is about 28.5993251344.

Adding to 23392 its product of digits (324), we get a square (23716 = 1542).

It can be divided in two parts, 233 and 92, that added together give a triangular number (325 = T25).

The spelling of 23392 in words is "twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 1376 1462 2924 5848 11696 23392