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2148 = 223179
BaseRepresentation
bin100001100100
32221120
4201210
532043
613540
76156
oct4144
92846
102148
111683
1212b0
13c93
14ad6
15983
hex864

2148 has 12 divisors (see below), whose sum is σ = 5040. Its totient is φ = 712.

The previous prime is 2143. The next prime is 2153. The reversal of 2148 is 8412.

It is an interprime number because it is at equal distance from previous prime (2143) and next prime (2153).

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

It is a super-2 number, since 2×21482 = 9227808, which contains 22 as substring.

It is a nialpdrome in base 13, base 15 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2148.

It is not an unprimeable number, because it can be changed into a prime (2141) by changing a digit.

2148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

22148 is an apocalyptic number.

It is an amenable number.

2148 is an abundant number, since it is smaller than the sum of its proper divisors (2892).

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 (2520).

2148 is a wasteful number, since it uses less digits than its factorization.

2148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

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

The square root of 2148 is about 46.3465209050. The cubic root of 2148 is about 12.9026255097.

It can be divided in two parts, 214 and 8, that added together give a palindrome (222).

The spelling of 2148 in words is "two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 179 358 537 716 1074 2148