Base | Representation |
---|---|
bin | 100111110000… |
… | …000010011100 |
3 | 201121102002000 |
4 | 213300002130 |
5 | 10131423010 |
6 | 1011202300 |
7 | 154400055 |
oct | 47600234 |
9 | 21542060 |
10 | 10420380 |
11 | 5977a93 |
12 | 35a6390 |
13 | 220b009 |
14 | 155372c |
15 | dac7c0 |
hex | 9f009c |
10420380 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2654784.
The previous prime is 10420363. The next prime is 10420381. The reversal of 10420380 is 8302401.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10420381) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12001 + ... + 12839.
It is an arithmetic number, because the mean of its divisors is an integer number (352800).
Almost surely, 210420380 is an apocalyptic number.
10420380 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 10420380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).
10420380 is an abundant number, since it is smaller than the sum of its proper divisors (23448420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10420380 is a wasteful number, since it uses less digits than its factorization.
10420380 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 880 (or 872 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 10420380 is about 3228.0613377072. The cubic root of 10420380 is about 218.4210642647.
Adding to 10420380 its reverse (8302401), we get a palindrome (18722781).
The spelling of 10420380 in words is "ten million, four hundred twenty thousand, three hundred eighty".
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