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132385 = 5112983
BaseRepresentation
bin100000010100100001
320201121011
4200110201
513214020
62500521
71060651
oct402441
9221534
10132385
1190510
1264741
1348346
1436361
152935a
hex20521

132385 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 91840.

The previous prime is 132383. The next prime is 132403. The reversal of 132385 is 583231.

It is not a de Polignac number, because 132385 - 21 = 132383 is a prime.

132385 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554 + ... + 1636.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2132385 is an apocalyptic number.

It is an amenable number.

132385 is a deficient number, since it is larger than the sum of its proper divisors (49055).

132385 is a wasteful number, since it uses less digits than its factorization.

132385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 720, while the sum is 22.

The square root of 132385 is about 363.8474955253. The cubic root of 132385 is about 50.9658877357.

The spelling of 132385 in words is "one hundred thirty-two thousand, three hundred eighty-five".

Divisors: 1 5 11 29 55 83 145 319 415 913 1595 2407 4565 12035 26477 132385