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132793 = 37297
BaseRepresentation
bin100000011010111001
320202011021
4200122321
513222133
62502441
71062103
oct403271
9222137
10132793
1190851
1264a21
134859b
1436573
152952d
hex206b9

132793 has 6 divisors (see below), whose sum is σ = 137886. Its totient is φ = 127872.

The previous prime is 132763. The next prime is 132817. The reversal of 132793 is 397231.

It can be written as a sum of positive squares in 3 ways, for example, as 71289 + 61504 = 267^2 + 248^2 .

It is not a de Polignac number, because 132793 - 25 = 132761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1321 + ... + 1417.

It is an arithmetic number, because the mean of its divisors is an integer number (22981).

2132793 is an apocalyptic number.

It is an amenable number.

132793 is a deficient number, since it is larger than the sum of its proper divisors (5093).

132793 is an frugal number, since it uses more digits than its factorization.

132793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 134 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 132793 is about 364.4077386665. The cubic root of 132793 is about 51.0181916392.

The spelling of 132793 in words is "one hundred thirty-two thousand, seven hundred ninety-three".

Divisors: 1 37 97 1369 3589 132793