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BaseRepresentation
bin101110001111111
31012111000
411301333
51224204
6301343
7126015
oct56177
935430
1023679
1116877
1211853
13aa16
1488b5
157039
hex5c7f

23679 has 8 divisors (see below), whose sum is σ = 35120. Its totient is φ = 15768.

The previous prime is 23677. The next prime is 23687. The reversal of 23679 is 97632.

It is not a de Polignac number, because 23679 - 21 = 23677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 877 = 23679 / (2 + 3 + 6 + 7 + 9).

It is a d-powerful number, because it can be written as 25 + 35 + 62 + 75 + 94 .

It is a Duffinian number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (4390).

223679 is an apocalyptic number.

23679 is a deficient number, since it is larger than the sum of its proper divisors (11441).

23679 is an equidigital number, since it uses as much as digits as its factorization.

23679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 23679 is about 153.8798232388. The cubic root of 23679 is about 28.7158131765.

The spelling of 23679 in words is "twenty-three thousand, six hundred seventy-nine".

Divisors: 1 3 9 27 877 2631 7893 23679