Base | Representation |
---|---|
bin | 1100100111110… |
… | …00001010011100 |
3 | 21101012221221002 |
4 | 12103320022130 |
5 | 204100432301 |
6 | 14301125432 |
7 | 2423625530 |
oct | 623701234 |
9 | 241187832 |
10 | 105874076 |
11 | 54843840 |
12 | 2b559878 |
13 | 18c1c3a9 |
14 | 100bdbc0 |
15 | 946516b |
hex | 64f829c |
105874076 has 48 divisors (see below), whose sum is σ = 232753920. Its totient is φ = 40936320.
The previous prime is 105874073. The next prime is 105874081. The reversal of 105874076 is 670478501.
It is a super-2 number, since 2×1058740762 = 22418639937707552, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105874073) 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 15 ways as a sum of consecutive naturals, for example, 41576 + ... + 44048.
It is an arithmetic number, because the mean of its divisors is an integer number (4849040).
Almost surely, 2105874076 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 105874076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116376960).
105874076 is an abundant number, since it is smaller than the sum of its proper divisors (126879844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105874076 is a wasteful number, since it uses less digits than its factorization.
105874076 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2634 (or 2632 counting only the distinct ones).
The product of its (nonzero) digits is 47040, while the sum is 38.
The square root of 105874076 is about 10289.5129136417. The cubic root of 105874076 is about 473.0748689197.
The spelling of 105874076 in words is "one hundred five million, eight hundred seventy-four thousand, seventy-six".
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