Base | Representation |
---|---|
bin | 1100101100111… |
… | …00011100101010 |
3 | 21102111010222200 |
4 | 12112130130222 |
5 | 204234000421 |
6 | 14323401030 |
7 | 2432430420 |
oct | 626343452 |
9 | 242433880 |
10 | 106546986 |
11 | 55163367 |
12 | 2b823176 |
13 | 190c6770 |
14 | 10217110 |
15 | 9549726 |
hex | 659c72a |
106546986 has 96 divisors (see below), whose sum is σ = 294053760. Its totient is φ = 27119232.
The previous prime is 106546963. The next prime is 106546997. The reversal of 106546986 is 689645601.
106546986 is a `hidden beast` number, since 10 + 6 + 546 + 98 + 6 = 666.
It is a super-2 number, since 2×1065469862 = 22704520451368392, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46381 + ... + 48623.
It is an arithmetic number, because the mean of its divisors is an integer number (3063060).
Almost surely, 2106546986 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106546986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).
106546986 is an abundant number, since it is smaller than the sum of its proper divisors (187506774).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106546986 is a wasteful number, since it uses less digits than its factorization.
106546986 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2300 (or 2297 counting only the distinct ones).
The product of its (nonzero) digits is 311040, while the sum is 45.
The square root of 106546986 is about 10322.1599483829. The cubic root of 106546986 is about 474.0750028192.
The spelling of 106546986 in words is "one hundred six million, five hundred forty-six thousand, nine hundred eighty-six".
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