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23816 = 2313229
BaseRepresentation
bin101110100001000
31012200002
411310020
51230231
6302132
7126302
oct56410
935602
1023816
1116991
1211948
13aac0
148972
1570cb
hex5d08

23816 has 16 divisors (see below), whose sum is σ = 48300. Its totient is φ = 10944.

The previous prime is 23813. The next prime is 23819. The reversal of 23816 is 61832.

23816 = 32 + 42 + ... + 412.

It is an interprime number because it is at equal distance from previous prime (23813) and next prime (23819).

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 100 = 154^2 + 10^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (23813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 218.

223816 is an apocalyptic number.

23816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23816 is an abundant number, since it is smaller than the sum of its proper divisors (24484).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24150).

23816 is a wasteful number, since it uses less digits than its factorization.

23816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 23816 is about 154.3243337909. The cubic root of 23816 is about 28.7710872389.

The spelling of 23816 in words is "twenty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 229 458 916 1832 2977 5954 11908 23816