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108032 = 29211
BaseRepresentation
bin11010011000000000
312111012012
4122120000
511424112
62152052
7626651
oct323000
9174165
10108032
1174191
1252628
133a232
142b528
1522022
hex1a600

108032 has 20 divisors (see below), whose sum is σ = 216876. Its totient is φ = 53760.

The previous prime is 108023. The next prime is 108037. The reversal of 108032 is 230801.

Adding to 108032 its reverse (230801), we get a palindrome (338833).

108032 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 107998 and 108016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108037) 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 as a sum of consecutive naturals, namely, 407 + ... + 617.

2108032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108438).

108032 is an abundant number, since it is smaller than the sum of its proper divisors (108844).

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

108032 is an frugal number, since it uses more digits than its factorization.

108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 108032 is about 328.6822173468. The cubic root of 108032 is about 47.6267345051.

The spelling of 108032 in words is "one hundred eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 844 1688 3376 6752 13504 27008 54016 108032