Base | Representation |
---|---|
bin | 1100101000111… |
… | …00011000100000 |
3 | 21101111111102202 |
4 | 12110130120200 |
5 | 204120204212 |
6 | 14304232332 |
7 | 2425114205 |
oct | 624343040 |
9 | 241444382 |
10 | 106022432 |
11 | 5493524a |
12 | 2b60b6a8 |
13 | 18c71a89 |
14 | 1011bcac |
15 | 94940c2 |
hex | 651c620 |
106022432 has 48 divisors (see below), whose sum is σ = 221981760. Its totient is φ = 49704192.
The previous prime is 106022431. The next prime is 106022437. The reversal of 106022432 is 234220601.
It is a super-2 number, since 2×1060224322 = 22481512174389248, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106022431) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61778 + ... + 63470.
It is an arithmetic number, because the mean of its divisors is an integer number (4624620).
Almost surely, 2106022432 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 106022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110990880).
106022432 is an abundant number, since it is smaller than the sum of its proper divisors (115959328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106022432 is a wasteful number, since it uses less digits than its factorization.
106022432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1825 (or 1817 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 106022432 is about 10296.7194775812. The cubic root of 106022432 is about 473.2957311045.
The spelling of 106022432 in words is "one hundred six million, twenty-two thousand, four hundred thirty-two".
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