Base | Representation |
---|---|
bin | 1100100110111… |
… | …11110000111000 |
3 | 21101000212211121 |
4 | 12103133300320 |
5 | 204034233021 |
6 | 14255035024 |
7 | 2423031256 |
oct | 623376070 |
9 | 241025747 |
10 | 105774136 |
11 | 54785746 |
12 | 2b50ba74 |
13 | 18bb5a60 |
14 | 100955d6 |
15 | 9445741 |
hex | 64dfc38 |
105774136 has 64 divisors (see below), whose sum is σ = 234057600. Its totient is φ = 44341248.
The previous prime is 105774133. The next prime is 105774181. The reversal of 105774136 is 631477501.
It is a super-2 number, since 2×1057741362 = 22376335693092992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (34).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105774131) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50241 + ... + 52303.
It is an arithmetic number, because the mean of its divisors is an integer number (3657150).
Almost surely, 2105774136 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 105774136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028800).
105774136 is an abundant number, since it is smaller than the sum of its proper divisors (128283464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105774136 is a wasteful number, since it uses less digits than its factorization.
105774136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2128 (or 2124 counting only the distinct ones).
The product of its (nonzero) digits is 17640, while the sum is 34.
The square root of 105774136 is about 10284.6553661268. The cubic root of 105774136 is about 472.9259688036.
The spelling of 105774136 in words is "one hundred five million, seven hundred seventy-four thousand, one hundred thirty-six".
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