[go: up one dir, main page]

Search a number
-
+
110028 = 22353173
BaseRepresentation
bin11010110111001100
312120221010
4122313030
512010103
62205220
7635532
oct326714
9176833
10110028
1175736
1253810
133b109
142c152
1522903
hex1adcc

110028 has 24 divisors (see below), whose sum is σ = 263088. Its totient is φ = 35776.

The previous prime is 110023. The next prime is 110039. The reversal of 110028 is 820011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 109995 and 110022.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110028.

It is not an unprimeable number, because it can be changed into a prime (110023) by changing a digit.

110028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (10962).

2110028 is an apocalyptic number.

It is an amenable number.

110028 is an abundant number, since it is smaller than the sum of its proper divisors (153060).

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

110028 is a wasteful number, since it uses less digits than its factorization.

110028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110028 is about 331.7046879379. The cubic root of 110028 is about 47.9182636729.

Adding to 110028 its reverse (820011), we get a palindrome (930039).

It can be divided in two parts, 1100 and 28, that added together give a triangular number (1128 = T47).

The spelling of 110028 in words is "one hundred ten thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 53 106 159 173 212 318 346 519 636 692 1038 2076 9169 18338 27507 36676 55014 110028