Base | Representation |
---|---|
bin | 1111101010011110000000 |
3 | 21201121112020 |
4 | 33222132000 |
5 | 2022343422 |
6 | 224001440 |
7 | 46621113 |
oct | 17523600 |
9 | 7647466 |
10 | 4106112 |
11 | 2354a8a |
12 | 1460280 |
13 | b09c6a |
14 | 78c57a |
15 | 56195c |
hex | 3ea780 |
4106112 has 96 divisors (see below), whose sum is σ = 11899320. Its totient is φ = 1253376.
The previous prime is 4106111. The next prime is 4106117. The reversal of 4106112 is 2116014.
4106112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 4106091 and 4106100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4106111) 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, 110958 + ... + 110994.
Almost surely, 24106112 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 4106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949660).
4106112 is an abundant number, since it is smaller than the sum of its proper divisors (7793208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4106112 is a wasteful number, since it uses less digits than its factorization.
4106112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 4106112 is about 2026.3543619022. The cubic root of 4106112 is about 160.1315584643.
The spelling of 4106112 in words is "four million, one hundred six thousand, one hundred twelve".
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