Base | Representation |
---|---|
bin | 1100101101001… |
… | …01011001010010 |
3 | 21102120000021000 |
4 | 12112211121102 |
5 | 204241134014 |
6 | 14324242430 |
7 | 2432642313 |
oct | 626453122 |
9 | 242500230 |
10 | 106583634 |
11 | 55188953 |
12 | 2b840416 |
13 | 1910a351 |
14 | 1022660a |
15 | 9555509 |
hex | 65a5652 |
106583634 has 32 divisors (see below), whose sum is σ = 238962240. Its totient is φ = 35211456.
The previous prime is 106583629. The next prime is 106583651. The reversal of 106583634 is 436385601.
106583634 is a `hidden beast` number, since 10 + 6 + 5 + 8 + 3 + 634 = 666.
It is a super-2 number, since 2×1065836342 = 22720142073291912, which contains 22 as substring.
It is an unprimeable number.
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, 2632 + ... + 14835.
It is an arithmetic number, because the mean of its divisors is an integer number (7467570).
Almost surely, 2106583634 is an apocalyptic number.
106583634 is an abundant number, since it is smaller than the sum of its proper divisors (132378606).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106583634 is a wasteful number, since it uses less digits than its factorization.
106583634 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17591 (or 17585 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 106583634 is about 10323.9350056071. The cubic root of 106583634 is about 474.1293510142.
It can be divided in two parts, 106 and 583634, that added together give a triangular number (583740 = T1080).
The spelling of 106583634 in words is "one hundred six million, five hundred eighty-three thousand, six hundred thirty-four".
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