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132314 = 2713727
BaseRepresentation
bin100000010011011010
320201111112
4200103122
513213224
62500322
71060520
oct402332
9221445
10132314
1190456
12646a2
13482c0
1436310
152930e
hex204da

132314 has 16 divisors (see below), whose sum is σ = 244608. Its totient is φ = 52272.

The previous prime is 132313. The next prime is 132329. The reversal of 132314 is 413231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132314.

It is not an unprimeable number, because it can be changed into a prime (132313) 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 in 7 ways as a sum of consecutive naturals, for example, 182 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2132314 is an apocalyptic number.

132314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132314 is a deficient number, since it is larger than the sum of its proper divisors (112294).

132314 is a wasteful number, since it uses less digits than its factorization.

132314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749.

The product of its digits is 72, while the sum is 14.

The square root of 132314 is about 363.7499140893. The cubic root of 132314 is about 50.9567748576.

Adding to 132314 its reverse (413231), we get a palindrome (545545).

The spelling of 132314 in words is "one hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 26 91 182 727 1454 5089 9451 10178 18902 66157 132314