Base | Representation |
---|---|
bin | 100111001101… |
… | …010011101000 |
3 | 201100011221010 |
4 | 213031103220 |
5 | 10112344440 |
6 | 1004143520 |
7 | 153235236 |
oct | 47152350 |
9 | 21304833 |
10 | 10278120 |
11 | 5890116 |
12 | 3537ba0 |
13 | 218b338 |
14 | 1517956 |
15 | d80580 |
hex | 9cd4e8 |
10278120 has 64 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 2709504.
The previous prime is 10278109. The next prime is 10278133. The reversal of 10278120 is 2187201.
10278120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11199 + ... + 12081.
It is an arithmetic number, because the mean of its divisors is an integer number (487305).
Almost surely, 210278120 is an apocalyptic number.
10278120 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 10278120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593760).
10278120 is an abundant number, since it is smaller than the sum of its proper divisors (20909400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10278120 is a wasteful number, since it uses less digits than its factorization.
10278120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 994 (or 990 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 21.
The square root of 10278120 is about 3205.9507170261. The cubic root of 10278120 is about 217.4225381441.
The spelling of 10278120 in words is "ten million, two hundred seventy-eight thousand, one hundred twenty".
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