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8124 = 223677
BaseRepresentation
bin1111110111100
3102010220
41332330
5224444
6101340
732454
oct17674
912126
108124
116116
124850
13390c
142d64
152619
hex1fbc

8124 has 12 divisors (see below), whose sum is σ = 18984. Its totient is φ = 2704.

The previous prime is 8123. The next prime is 8147. The reversal of 8124 is 4218.

8124 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123) 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, 327 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (1582).

28124 is an apocalyptic number.

It is an amenable number.

8124 is an abundant number, since it is smaller than the sum of its proper divisors (10860).

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 (9492).

8124 is a wasteful number, since it uses less digits than its factorization.

8124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 682 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 8124 is about 90.1332347139. The cubic root of 8124 is about 20.1028039948.

It can be divided in two parts, 81 and 24, that added together give a triangular number (105 = T14).

The spelling of 8124 in words is "eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 677 1354 2031 2708 4062 8124