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132282 = 2327349
BaseRepresentation
bin100000010010111010
320201110100
4200102322
513213112
62500230
71060443
oct402272
9221410
10132282
1190427
1264676
1348297
14362ca
15292dc
hex204ba

132282 has 12 divisors (see below), whose sum is σ = 286650. Its totient is φ = 44088.

The previous prime is 132263. The next prime is 132283. The reversal of 132282 is 282231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 29241 = 321^2 + 171^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7349 = 132282 / (1 + 3 + 2 + 2 + 8 + 2).

It is not an unprimeable number, because it can be changed into a prime (132283) 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, 3657 + ... + 3692.

2132282 is an apocalyptic number.

132282 is an abundant number, since it is smaller than the sum of its proper divisors (154368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132282 is a wasteful number, since it uses less digits than its factorization.

132282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7354 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 132282 is about 363.7059251648. The cubic root of 132282 is about 50.9526665791.

It can be divided in two parts, 132 and 282, that added together give a palindrome (414).

The spelling of 132282 in words is "one hundred thirty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 7349 14698 22047 44094 66141 132282