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110439968 = 253722521
BaseRepresentation
bin1101001010100…
…10111000100000
321200210221011012
412211102320200
5211233034333
614543040052
72510503262
oct645227040
9250727135
10110439968
1157382201
1230ba0028
1319b5a6c2
141094bb32
159a67e48
hex6952e20

110439968 has 36 divisors (see below), whose sum is σ = 223552602. Its totient is φ = 53706240.

The previous prime is 110439961. The next prime is 110439977. The reversal of 110439968 is 869934011.

It can be written as a sum of positive squares in 3 ways, for example, as 99760144 + 10679824 = 9988^2 + 3268^2 .

It is not an unprimeable number, because it can be changed into a prime (110439961) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 42548 + ... + 45068.

Almost surely, 2110439968 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 110439968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111776301).

110439968 is an abundant number, since it is smaller than the sum of its proper divisors (113112634).

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

110439968 is an equidigital number, since it uses as much as digits as its factorization.

110439968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 110439968 is about 10509.0422018374. The cubic root of 110439968 is about 479.7799454283.

The spelling of 110439968 in words is "one hundred ten million, four hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1369 2521 2738 5042 5476 10084 10952 20168 21904 40336 43808 80672 93277 186554 373108 746216 1492432 2984864 3451249 6902498 13804996 27609992 55219984 110439968