Base | Representation |
---|---|
bin | 100111100110… |
… | …001110000000 |
3 | 201112100220101 |
4 | 213212032000 |
5 | 10124131120 |
6 | 1010252144 |
7 | 154141600 |
oct | 47461600 |
9 | 21470811 |
10 | 10380160 |
11 | 594a84a |
12 | 3587054 |
13 | 21c590b |
14 | 1542c00 |
15 | da090a |
hex | 9e6380 |
10380160 has 96 divisors (see below), whose sum is σ = 28953720. Its totient is φ = 3548160.
The previous prime is 10380151. The next prime is 10380163. The reversal of 10380160 is 6108301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10380163) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31195 + ... + 31525.
Almost surely, 210380160 is an apocalyptic number.
10380160 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 10380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476860).
10380160 is an abundant number, since it is smaller than the sum of its proper divisors (18573560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10380160 is an equidigital number, since it uses as much as digits as its factorization.
10380160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 364 (or 345 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 19.
The square root of 10380160 is about 3221.8255694559. The cubic root of 10380160 is about 218.1396854670.
Adding to 10380160 its reverse (6108301), we get a palindrome (16488461).
The spelling of 10380160 in words is "ten million, three hundred eighty thousand, one hundred sixty".
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