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132330 = 23511401
BaseRepresentation
bin100000010011101010
320201112010
4200103222
513213310
62500350
71060542
oct402352
9221463
10132330
1190470
12646b6
1348303
1436322
1529320
hex204ea

132330 has 32 divisors (see below), whose sum is σ = 347328. Its totient is φ = 32000.

The previous prime is 132329. The next prime is 132331. The reversal of 132330 is 33231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132329) and next prime (132331).

It is a super-2 number, since 2×1323302 = 35022457800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132331) 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 15 ways as a sum of consecutive naturals, for example, 130 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (10854).

2132330 is an apocalyptic number.

132330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173664).

132330 is an abundant number, since it is smaller than the sum of its proper divisors (214998).

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

132330 is a wasteful number, since it uses less digits than its factorization.

132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

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

The square root of 132330 is about 363.7719065568. The cubic root of 132330 is about 50.9588287484.

Adding to 132330 its reverse (33231), we get a palindrome (165561).

Subtracting from 132330 its reverse (33231), we obtain a palindrome (99099).

The spelling of 132330 in words is "one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 401 802 1203 2005 2406 4010 4411 6015 8822 12030 13233 22055 26466 44110 66165 132330