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132849 = 3229509
BaseRepresentation
bin100000011011110001
320202020100
4200123301
513222344
62503013
71062213
oct403361
9222210
10132849
11908a2
1264a69
1348612
14365b3
1529569
hex206f1

132849 has 12 divisors (see below), whose sum is σ = 198900. Its totient is φ = 85344.

The previous prime is 132833. The next prime is 132851. The reversal of 132849 is 948231.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 42849 = 300^2 + 207^2 .

It is not a de Polignac number, because 132849 - 24 = 132833 is a prime.

It is an Ulam number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (132859) 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, 7 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (16575).

2132849 is an apocalyptic number.

It is an amenable number.

132849 is a deficient number, since it is larger than the sum of its proper divisors (66051).

132849 is a wasteful number, since it uses less digits than its factorization.

132849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 541 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 132849 is about 364.4845675745. The cubic root of 132849 is about 51.0253622411.

The spelling of 132849 in words is "one hundred thirty-two thousand, eight hundred forty-nine".

Divisors: 1 3 9 29 87 261 509 1527 4581 14761 44283 132849