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23320 = 2351153
BaseRepresentation
bin101101100011000
31011222201
411230120
51221240
6255544
7124663
oct55430
934881
1023320
1116580
12115b4
13a7cb
1486da
156d9a
hex5b18

23320 has 32 divisors (see below), whose sum is σ = 58320. Its totient is φ = 8320.

The previous prime is 23311. The next prime is 23321. The reversal of 23320 is 2332.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 23297 and 23306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321) by changing a digit.

23320 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 7 ways as a sum of consecutive naturals, for example, 414 + ... + 466.

223320 is an apocalyptic number.

23320 is a gapful number since it is divisible by the number (20) 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 23320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29160).

23320 is an abundant number, since it is smaller than the sum of its proper divisors (35000).

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

23320 is a wasteful number, since it uses less digits than its factorization.

23320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 23320 is about 152.7088733506. The cubic root of 23320 is about 28.5699523047.

23320 divided by its sum of digits (10) gives a palindrome (2332).

Adding to 23320 its reverse (2332), we get a palindrome (25652).

It can be divided in two parts, 233 and 20, that added together give a triangular number (253 = T22).

The spelling of 23320 in words is "twenty-three thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320