Base | Representation |
---|---|
bin | 1100101011111… |
… | …10110001100000 |
3 | 21102020222020222 |
4 | 12111332301200 |
5 | 204221103230 |
6 | 14321022212 |
7 | 2431413152 |
oct | 625766140 |
9 | 242228228 |
10 | 106425440 |
11 | 55090010 |
12 | 2b784968 |
13 | 19083344 |
14 | 101c4ad2 |
15 | 95236e5 |
hex | 657ec60 |
106425440 has 96 divisors (see below), whose sum is σ = 290503584. Its totient is φ = 36413440.
The previous prime is 106425427. The next prime is 106425443. The reversal of 106425440 is 44524601.
It is a super-2 number, since 2×1064254402 = 22652748558387200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106425443) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28142 + ... + 31698.
It is an arithmetic number, because the mean of its divisors is an integer number (3026079).
Almost surely, 2106425440 is an apocalyptic number.
106425440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145251792).
106425440 is an abundant number, since it is smaller than the sum of its proper divisors (184078144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106425440 is a wasteful number, since it uses less digits than its factorization.
106425440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3600 (or 3592 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 26.
The square root of 106425440 is about 10316.2706439876. The cubic root of 106425440 is about 473.8946634605.
The spelling of 106425440 in words is "one hundred six million, four hundred twenty-five thousand, four hundred forty".
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