Base | Representation |
---|---|
bin | 1100101000111… |
… | …00011101101000 |
3 | 21101111111212220 |
4 | 12110130131220 |
5 | 204120212020 |
6 | 14304234040 |
7 | 2425115154 |
oct | 624343550 |
9 | 241444786 |
10 | 106022760 |
11 | 54935518 |
12 | 2b60b920 |
13 | 18c71c7c |
14 | 1011c064 |
15 | 9494240 |
hex | 651c768 |
106022760 has 64 divisors (see below), whose sum is σ = 326678400. Its totient is φ = 27507456.
The previous prime is 106022731. The next prime is 106022767. The reversal of 106022760 is 67220601.
It is a happy number.
It is a super-2 number, since 2×1060227602 = 22481651276035200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 106022760.
It is not an unprimeable number, because it can be changed into a prime (106022767) by changing a digit.
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, 7500 + ... + 16379.
It is an arithmetic number, because the mean of its divisors is an integer number (5104350).
Almost surely, 2106022760 is an apocalyptic number.
106022760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
106022760 is an abundant number, since it is smaller than the sum of its proper divisors (220655640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106022760 is a wasteful number, since it uses less digits than its factorization.
106022760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23930 (or 23926 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 24.
The square root of 106022760 is about 10296.7354049718. The cubic root of 106022760 is about 473.2962191799.
The spelling of 106022760 in words is "one hundred six million, twenty-two thousand, seven hundred sixty".
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