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23316 = 2232967
BaseRepresentation
bin101101100010100
31011222120
411230110
51221231
6255540
7124656
oct55424
934876
1023316
1116577
12115b0
13a7c7
1486d6
156d96
hex5b14

23316 has 24 divisors (see below), whose sum is σ = 57120. Its totient is φ = 7392.

The previous prime is 23311. The next prime is 23321. The reversal of 23316 is 61332.

It is an interprime number because it is at equal distance from previous prime (23311) and next prime (23321).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23295 and 23304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23311) by changing a digit.

23316 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, 315 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (2380).

223316 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 23316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560).

23316 is an abundant number, since it is smaller than the sum of its proper divisors (33804).

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

23316 is a wasteful number, since it uses less digits than its factorization.

23316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 23316 is about 152.6957759730. The cubic root of 23316 is about 28.5683187091.

Adding to 23316 its reverse (61332), we get a palindrome (84648).

The spelling of 23316 in words is "twenty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 804 1943 3886 5829 7772 11658 23316