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BaseRepresentation
bin11111110000
32210021
4133300
531112
613224
75632
oct3760
92707
102032
111588
121214
13c04
14a52
15907
hex7f0

2032 has 10 divisors (see below), whose sum is σ = 3968. Its totient is φ = 1008.

The previous prime is 2029. The next prime is 2039. The reversal of 2032 is 2302.

It is an Ulam number.

It is a plaindrome in base 11.

It is a nialpdrome in base 2 and base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48 + ... + 79.

22032 is an apocalyptic number.

It is an amenable number.

2032 is a deficient number, since it is larger than the sum of its proper divisors (1936).

2032 is a wasteful number, since it uses less digits than its factorization.

2032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 2032 is about 45.0777106783. The cubic root of 2032 is about 12.6660510627. Note that the first 3 decimals are identical.

Adding to 2032 its reverse (2302), we get a palindrome (4334).

It can be divided in two parts, 203 and 2, that multiplied together give a triangular number (406 = T28).

The spelling of 2032 in words is "two thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 16 127 254 508 1016 2032