Base | Representation |
---|---|
bin | 1100110101110… |
… | …10100100000000 |
3 | 21111200200120100 |
4 | 12122322210000 |
5 | 210034001122 |
6 | 14404442400 |
7 | 2445411210 |
oct | 632724400 |
9 | 244620510 |
10 | 107718912 |
11 | 558938a4 |
12 | 300a9400 |
13 | 19417002 |
14 | 10440240 |
15 | 96cbaac |
hex | 66ba900 |
107718912 has 108 divisors (see below), whose sum is σ = 355001920. Its totient is φ = 30772224.
The previous prime is 107718883. The next prime is 107718917. The reversal of 107718912 is 219817701.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (107718917) 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 11 ways as a sum of consecutive naturals, for example, 12789 + ... + 19467.
Almost surely, 2107718912 is an apocalyptic number.
107718912 is a gapful number since it is divisible by the number (12) 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 107718912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177500960).
107718912 is an abundant number, since it is smaller than the sum of its proper divisors (247283008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107718912 is an equidigital number, since it uses as much as digits as its factorization.
107718912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6708 (or 6691 counting only the distinct ones).
The product of its (nonzero) digits is 7056, while the sum is 36.
The square root of 107718912 is about 10378.7721817178. The cubic root of 107718912 is about 475.8068090624.
It can be divided in two parts, 10771 and 8912, that added together give a 9-th power (19683 = 39).
The spelling of 107718912 in words is "one hundred seven million, seven hundred eighteen thousand, nine hundred twelve".
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