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110142 = 23229211
BaseRepresentation
bin11010111000111110
312121002100
4122320332
512011032
62205530
7636054
oct327076
9177070
10110142
117582a
12538a6
133b196
142c1d4
152297c
hex1ae3e

110142 has 24 divisors (see below), whose sum is σ = 248040. Its totient is φ = 35280.

The previous prime is 110129. The next prime is 110161. The reversal of 110142 is 241011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (10335).

2110142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124020).

110142 is an abundant number, since it is smaller than the sum of its proper divisors (137898).

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

110142 is a wasteful number, since it uses less digits than its factorization.

110142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 110142 is about 331.8764830475. The cubic root of 110142 is about 47.9348073300.

Adding to 110142 its reverse (241011), we get a palindrome (351153).

It can be divided in two parts, 110 and 142, that added together give a palindrome (252).

The spelling of 110142 in words is "one hundred ten thousand, one hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 29 58 87 174 211 261 422 522 633 1266 1899 3798 6119 12238 18357 36714 55071 110142