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132253 = 1121093
BaseRepresentation
bin100000010010011101
320201102021
4200102131
513213003
62500141
71060402
oct402235
9221367
10132253
1190400
1264651
1348274
14362a9
15292bd
hex2049d

132253 has 6 divisors (see below), whose sum is σ = 145502. Its totient is φ = 120120.

The previous prime is 132247. The next prime is 132257. The reversal of 132253 is 352231.

It can be written as a sum of positive squares in only one way, i.e., 131769 + 484 = 363^2 + 22^2 .

It is not a de Polignac number, because 132253 - 217 = 1181 is a prime.

It is a Duffinian number.

132253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132257) 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 5 ways as a sum of consecutive naturals, for example, 426 + ... + 667.

2132253 is an apocalyptic number.

It is an amenable number.

132253 is a deficient number, since it is larger than the sum of its proper divisors (13249).

132253 is a wasteful number, since it uses less digits than its factorization.

132253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1104 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 132253 is about 363.6660556060. Note that the first 3 decimals coincide. The cubic root of 132253 is about 50.9489428794.

Adding to 132253 its reverse (352231), we get a palindrome (484484).

The spelling of 132253 in words is "one hundred thirty-two thousand, two hundred fifty-three".

Divisors: 1 11 121 1093 12023 132253