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2142 = 232717
BaseRepresentation
bin100001011110
32221100
4201132
532032
613530
76150
oct4136
92840
102142
111678
1212a6
13c8a
14ad0
1597c
hex85e

2142 has 24 divisors (see below), whose sum is σ = 5616. Its totient is φ = 576.

The previous prime is 2141. The next prime is 2143. The reversal of 2142 is 2412.

Adding to 2142 its reverse (2412), we get a palindrome (4554).

It can be divided in two parts, 214 and 2, that added together give a cube (216 = 63).

2142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2141) and next prime (2143).

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

It is a plaindrome in base 11.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (234).

It is a practical number, because each smaller number is the sum of distinct divisors of 2142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808).

2142 is an abundant number, since it is smaller than the sum of its proper divisors (3474).

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

2142 is a wasteful number, since it uses less digits than its factorization.

2142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 29 counting only the distinct ones).

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

The square root of 2142 is about 46.2817458616. The cubic root of 2142 is about 12.8906006887.

The spelling of 2142 in words is "two thousand, one hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142