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2132 = 221341
BaseRepresentation
bin100001010100
32220222
4201110
532012
613512
76134
oct4124
92828
102132
111669
121298
13c80
14ac4
15972
hex854

2132 has 12 divisors (see below), whose sum is σ = 4116. Its totient is φ = 960.

The previous prime is 2131. The next prime is 2137. The reversal of 2132 is 2312.

Adding to 2132 its reverse (2312), we get a palindrome (4444).

2132 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 196 + 1936 = 14^2 + 44^2 .

It is a d-powerful number, because it can be written as 2 + 34 + 1 + 211 .

2132 is an undulating number in base 9.

It is a plaindrome in base 11.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131) 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, 32 + ... + 72.

It is an arithmetic number, because the mean of its divisors is an integer number (343).

22132 is an apocalyptic number.

It is an amenable number.

2132 is a deficient number, since it is larger than the sum of its proper divisors (1984).

2132 is a wasteful number, since it uses less digits than its factorization.

2132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 56 counting only the distinct ones).

The product of its digits is 12, while the sum is 8.

The square root of 2132 is about 46.1735855225. The cubic root of 2132 is about 12.8705093209.

The spelling of 2132 in words is "two thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 41 52 82 164 533 1066 2132