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110968 = 23111397
BaseRepresentation
bin11011000101111000
312122012221
4123011320
512022333
62213424
7641344
oct330570
9178187
10110968
1176410
1254274
133b680
142c624
1522d2d
hex1b178

110968 has 32 divisors (see below), whose sum is σ = 246960. Its totient is φ = 46080.

The previous prime is 110951. The next prime is 110969. The reversal of 110968 is 869011.

It is an Ulam number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110969) by changing a digit.

110968 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, 1096 + ... + 1192.

2110968 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 110968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480).

110968 is an abundant number, since it is smaller than the sum of its proper divisors (135992).

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

110968 is a wasteful number, since it uses less digits than its factorization.

110968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

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

The square root of 110968 is about 333.1185974994. The cubic root of 110968 is about 48.0543366152.

Adding to 110968 its reverse (869011), we get a palindrome (979979).

The spelling of 110968 in words is "one hundred ten thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 97 104 143 194 286 388 572 776 1067 1144 1261 2134 2522 4268 5044 8536 10088 13871 27742 55484 110968