23076 has 18 divisors (see below), whose sum is σ = 58422. Its totient is φ = 7680.

The previous prime is 23071. The next prime is 23081. The reversal of 23076 is 67032.

It is an interprime number because it is at equal distance from previous prime (23071) and next prime (23081).

It can be written as a sum of positive squares in only one way, i.e., 22500 + 576 = 150^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **2**^{11} + **3**^{9} + **0** + **7**^{2} + **6**^{4} .

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

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 23076.

It is not an unprimeable number, because it can be changed into a prime (23071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285 + ... + 356.

2^{23076} is an apocalyptic number.

It is an amenable number.

23076 is an abundant number, since it is smaller than the sum of its proper divisors (35346).

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

23076 is a wasteful number, since it uses less digits than its factorization.

23076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 23076 is about 151.9078668141. The cubic root of 23076 is about 28.4699591124.

Subtracting 23076 from its reverse (67032), we obtain a triangular number (43956 = T_{296}).

The spelling of 23076 in words is "twenty-three thousand, seventy-six".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.035 sec. • engine limits •