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2124 = 223259
BaseRepresentation
bin100001001100
32220200
4201030
531444
613500
76123
oct4114
92820
102124
111661
121290
13c75
14aba
15969
hex84c

2124 has 18 divisors (see below), whose sum is σ = 5460. Its totient is φ = 696.

The previous prime is 2113. The next prime is 2129. The reversal of 2124 is 4212.

Adding to 2124 its reverse (4212), we get a palindrome (6336).

It can be divided in two parts, 212 and 4, that multiplied together give a palindrome (848).

2124 is nontrivially palindromic in base 8, base 11, base 14 and base 15.

2124 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

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

It is a super-2 number, since 2×21242 = 9022752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

2124 is an undulating number in base 14 and base 15.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2129) 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, 7 + ... + 65.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730).

2124 is an abundant number, since it is smaller than the sum of its proper divisors (3336).

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

2124 is a wasteful number, since it uses less digits than its factorization.

2124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its digits is 16, while the sum is 9.

The square root of 2124 is about 46.0868744872. The cubic root of 2124 is about 12.8543909454.

The spelling of 2124 in words is "two thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124