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133302 = 23131709
BaseRepresentation
bin100000100010110110
320202212010
4200202312
513231202
62505050
71063431
oct404266
9222763
10133302
1191174
1265186
13488a0
1436818
152976c
hex208b6

133302 has 16 divisors (see below), whose sum is σ = 287280. Its totient is φ = 40992.

The previous prime is 133283. The next prime is 133303. The reversal of 133302 is 203331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303) 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, 777 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2133302 is an apocalyptic number.

133302 is an abundant number, since it is smaller than the sum of its proper divisors (153978).

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

133302 is a wasteful number, since it uses less digits than its factorization.

133302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133302 is about 365.1054642155. The cubic root of 133302 is about 51.0832933412.

Adding to 133302 its reverse (203331), we get a palindrome (336633).

It can be divided in two parts, 133 and 302, that added together give a triangular number (435 = T29).

The spelling of 133302 in words is "one hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 78 1709 3418 5127 10254 22217 44434 66651 133302