Search a number
-
+
132093 = 32131129
BaseRepresentation
bin100000001111111101
320201012100
4200033331
513211333
62455313
71060053
oct401775
9221170
10132093
1190275
1264539
1348180
14361d3
1529213
hex203fd

132093 has 12 divisors (see below), whose sum is σ = 205660. Its totient is φ = 81216.

The previous prime is 132071. The next prime is 132103. The reversal of 132093 is 390231.

It can be written as a sum of positive squares in 2 ways, for example, as 15129 + 116964 = 123^2 + 342^2 .

It is not a de Polignac number, because 132093 - 28 = 131837 is a prime.

132093 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132893) 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, 448 + ... + 681.

2132093 is an apocalyptic number.

132093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132093 is a deficient number, since it is larger than the sum of its proper divisors (73567).

132093 is a wasteful number, since it uses less digits than its factorization.

132093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 132093 is about 363.4460069942. The cubic root of 132093 is about 50.9283885368.

It can be divided in two parts, 1320 and 93, that multiplied together give a triangular number (122760 = T495).

The spelling of 132093 in words is "one hundred thirty-two thousand, ninety-three".

Divisors: 1 3 9 13 39 117 1129 3387 10161 14677 44031 132093