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45132 = 2233761
BaseRepresentation
bin1011000001001100
32021220120
423001030
52421012
6544540
7245403
oct130114
967816
1045132
11309aa
1222150
1317709
141263a
15d58c
hexb04c

45132 has 12 divisors (see below), whose sum is σ = 105336. Its totient is φ = 15040.

The previous prime is 45131. The next prime is 45137. The reversal of 45132 is 23154.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (45131) 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, 1869 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

245132 is an apocalyptic number.

It is an amenable number.

45132 is an abundant number, since it is smaller than the sum of its proper divisors (60204).

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 (52668).

45132 is a wasteful number, since it uses less digits than its factorization.

45132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3766 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 45132 is about 212.4429335139. The cubic root of 45132 is about 35.6036776069.

Adding to 45132 its reverse (23154), we get a palindrome (68286).

The spelling of 45132 in words is "forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 3761 7522 11283 15044 22566 45132