Base | Representation |
---|---|
bin | 1100111001000… |
… | …11100011101000 |
3 | 21112111112111100 |
4 | 12130203203220 |
5 | 210141231333 |
6 | 14422001400 |
7 | 2452152054 |
oct | 634434350 |
9 | 245445440 |
10 | 108148968 |
11 | 56057a14 |
12 | 30276260 |
13 | 19537995 |
14 | 10512c64 |
15 | 9764213 |
hex | 67238e8 |
108148968 has 96 divisors (see below), whose sum is σ = 312741000. Its totient is φ = 33644544.
The previous prime is 108148961. The next prime is 108148981. The reversal of 108148968 is 869841801.
108148968 is a `hidden beast` number, since 108 + 1 + 489 + 68 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 91355364 + 16793604 = 9558^2 + 4098^2 .
It is not an unprimeable number, because it can be changed into a prime (108148961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182080 + ... + 182672.
Almost surely, 2108148968 is an apocalyptic number.
108148968 is a gapful number since it is divisible by the number (18) 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 108148968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156370500).
108148968 is an abundant number, since it is smaller than the sum of its proper divisors (204592032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
108148968 is a wasteful number, since it uses less digits than its factorization.
108148968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 771 (or 764 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 45.
The square root of 108148968 is about 10399.4696018595. The cubic root of 108148968 is about 476.4391705151.
The spelling of 108148968 in words is "one hundred eight million, one hundred forty-eight thousand, nine hundred sixty-eight".
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