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132258 = 2374767
BaseRepresentation
bin100000010010100010
320201102110
4200102202
513213013
62500150
71060410
oct402242
9221373
10132258
1190405
1264656
1348279
14362b0
15292c3
hex204a2

132258 has 32 divisors (see below), whose sum is σ = 313344. Its totient is φ = 36432.

The previous prime is 132257. The next prime is 132263. The reversal of 132258 is 852231.

132258 = 72 + 82 + ... + 732.

It is a super-4 number, since 4×1322584 (a number of 22 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1941 + ... + 2007.

It is an arithmetic number, because the mean of its divisors is an integer number (9792).

2132258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672).

132258 is an abundant number, since it is smaller than the sum of its proper divisors (181086).

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

132258 is a wasteful number, since it uses less digits than its factorization.

132258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its digits is 480, while the sum is 21.

The square root of 132258 is about 363.6729299797. The cubic root of 132258 is about 50.9495849354.

Adding to 132258 its reverse (852231), we get a palindrome (984489).

The spelling of 132258 in words is "one hundred thirty-two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 47 67 94 134 141 201 282 329 402 469 658 938 987 1407 1974 2814 3149 6298 9447 18894 22043 44086 66129 132258