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264132 = 2232112329
BaseRepresentation
bin1000000011111000100
3111102022200
41000133010
531423012
65354500
72150031
oct1003704
9442280
10264132
111704a0
12108a30
13932bb
146c388
15533dc
hex407c4

264132 has 72 divisors (see below), whose sum is σ = 786240. Its totient is φ = 73920.

The previous prime is 264127. The next prime is 264133. The reversal of 264132 is 231462.

It is a happy number.

264132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (264133) by changing a digit.

264132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 9094 + ... + 9122.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2264132 is an apocalyptic number.

264132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

264132 is an abundant number, since it is smaller than the sum of its proper divisors (522108).

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

264132 is a wasteful number, since it uses less digits than its factorization.

264132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 68 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 264132 is about 513.9377394199. The cubic root of 264132 is about 64.1613765995.

Adding to 264132 its reverse (231462), we get a palindrome (495594).

The spelling of 264132 in words is "two hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 29 33 36 44 46 58 66 69 87 92 99 116 132 138 174 198 207 253 261 276 319 348 396 414 506 522 638 667 759 828 957 1012 1044 1276 1334 1518 1914 2001 2277 2668 2871 3036 3828 4002 4554 5742 6003 7337 8004 9108 11484 12006 14674 22011 24012 29348 44022 66033 88044 132066 264132