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132858 = 23211261
BaseRepresentation
bin100000011011111010
320202020200
4200123322
513222413
62503030
71062225
oct403372
9222220
10132858
1190900
1264a76
134861b
14365bc
1529573
hex206fa

132858 has 36 divisors (see below), whose sum is σ = 321594. Its totient is φ = 39600.

The previous prime is 132857. The next prime is 132859. The reversal of 132858 is 858231.

It is a happy number.

132858 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132857) and next prime (132859).

It can be written as a sum of positive squares in only one way, i.e., 131769 + 1089 = 363^2 + 33^2 .

It is a Curzon number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132858.

It is not an unprimeable number, because it can be changed into a prime (132851) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2148 + ... + 2208.

2132858 is an apocalyptic number.

132858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160797).

132858 is an abundant number, since it is smaller than the sum of its proper divisors (188736).

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

132858 is a wasteful number, since it uses less digits than its factorization.

132858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 132858 is about 364.4969135672. The cubic root of 132858 is about 51.0265144713.

It can be divided in two parts, 132 and 858, that added together give a triangular number (990 = T44).

The spelling of 132858 in words is "one hundred thirty-two thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 121 122 183 198 242 363 366 549 671 726 1089 1098 1342 2013 2178 4026 6039 7381 12078 14762 22143 44286 66429 132858