Base | Representation |
---|---|
bin | 1100101100000… |
… | …11101101001110 |
3 | 21102021222222100 |
4 | 12112003231032 |
5 | 204222230041 |
6 | 14321255530 |
7 | 2431526106 |
oct | 626035516 |
9 | 242258870 |
10 | 106445646 |
11 | 550a420a |
12 | 2b7945a6 |
13 | 1908c5b8 |
14 | 101cc206 |
15 | 95296b6 |
hex | 6583b4e |
106445646 has 24 divisors (see below), whose sum is σ = 230822280. Its totient is φ = 35452656.
The previous prime is 106445629. The next prime is 106445663. The reversal of 106445646 is 646544601.
106445646 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 4 + 5 + 646 = 666.
It is an interprime number because it is at equal distance from previous prime (106445629) and next prime (106445663).
It is a super-3 number, since 3×1064456463 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 106445646.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39985 + ... + 42563.
It is an arithmetic number, because the mean of its divisors is an integer number (9617595).
Almost surely, 2106445646 is an apocalyptic number.
106445646 is an abundant number, since it is smaller than the sum of its proper divisors (124376634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106445646 is a wasteful number, since it uses less digits than its factorization.
106445646 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4880 (or 4877 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 106445646 is about 10317.2499242773. The cubic root of 106445646 is about 473.9246528742.
It can be divided in two parts, 10644 and 5646, that added together give a triangular number (16290 = T180).
The spelling of 106445646 in words is "one hundred six million, four hundred forty-five thousand, six hundred forty-six".
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