Base | Representation |
---|---|
bin | 11001000100100… |
… | …11101011111000 |
3 | 112122202100222002 |
4 | 30202103223320 |
5 | 412320220440 |
6 | 32511520132 |
7 | 5132456123 |
oct | 1442235370 |
9 | 478670862 |
10 | 210320120 |
11 | a87a168a |
12 | 5a529048 |
13 | 3475b79a |
14 | 1dd0b3ba |
15 | 136e7115 |
hex | c893af8 |
210320120 has 128 divisors (see below), whose sum is σ = 525312000. Its totient is φ = 75479040.
The previous prime is 210320113. The next prime is 210320161. The reversal of 210320120 is 21023012.
It is a happy number.
210320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-4 number, since 4×2103201204 (a number of 34 digits) contains 4444 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1861184 + ... + 1861296.
It is an arithmetic number, because the mean of its divisors is an integer number (4104000).
Almost surely, 2210320120 is an apocalyptic number.
210320120 is a gapful number since it is divisible by the number (20) 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 210320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262656000).
210320120 is an abundant number, since it is smaller than the sum of its proper divisors (314991880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210320120 is a wasteful number, since it uses less digits than its factorization.
210320120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 253 (or 249 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 210320120 is about 14502.4177294684. The cubic root of 210320120 is about 594.6940686518.
Adding to 210320120 its reverse (21023012), we get a palindrome (231343132).
The spelling of 210320120 in words is "two hundred ten million, three hundred twenty thousand, one hundred twenty".
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