Search a number
-
+
110896 = 2429239
BaseRepresentation
bin11011000100110000
312122010021
4123010300
512022041
62213224
7641212
oct330460
9178107
10110896
1176355
1254214
133b626
142c5b2
1522cd1
hex1b130

110896 has 20 divisors (see below), whose sum is σ = 223200. Its totient is φ = 53312.

The previous prime is 110881. The next prime is 110899. The reversal of 110896 is 698011.

It is a self number, because there is not a number n which added to its sum of digits gives 110896.

It is not an unprimeable number, because it can be changed into a prime (110899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2110896 is an apocalyptic number.

110896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

110896 is an abundant number, since it is smaller than the sum of its proper divisors (112304).

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

110896 is a wasteful number, since it uses less digits than its factorization.

110896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 110896 is about 333.0105103446. The cubic root of 110896 is about 48.0439412435.

The spelling of 110896 in words is "one hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 239 464 478 956 1912 3824 6931 13862 27724 55448 110896