Search a number
-
+
110840 = 23517163
BaseRepresentation
bin11011000011111000
312122001012
4123003320
512021330
62213052
7641102
oct330370
9178035
10110840
1176304
1254188
133b5b2
142c572
1522c95
hex1b0f8

110840 has 32 divisors (see below), whose sum is σ = 265680. Its totient is φ = 41472.

The previous prime is 110821. The next prime is 110849. The reversal of 110840 is 48011.

It is a happy number.

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 110840.

It is not an unprimeable number, because it can be changed into a prime (110849) by changing a digit.

110840 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, 599 + ... + 761.

2110840 is an apocalyptic number.

110840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110840 is the 272-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132840).

110840 is an abundant number, since it is smaller than the sum of its proper divisors (154840).

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

110840 is a wasteful number, since it uses less digits than its factorization.

110840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 110840 is about 332.9264182969. The cubic root of 110840 is about 48.0358528432.

Adding to 110840 its reverse (48011), we get a palindrome (158851).

The spelling of 110840 in words is "one hundred ten thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 163 170 326 340 652 680 815 1304 1630 2771 3260 5542 6520 11084 13855 22168 27710 55420 110840