Base | Representation |
---|---|
bin | 11001100000001… |
… | …11111101100010 |
3 | 112220120101102000 |
4 | 30300013331202 |
5 | 414232121424 |
6 | 33121304430 |
7 | 5205322641 |
oct | 1460077542 |
9 | 486511360 |
10 | 213942114 |
11 | aa845971 |
12 | 5b795116 |
13 | 35429289 |
14 | 205b1358 |
15 | 13bb03c9 |
hex | cc07f62 |
213942114 has 64 divisors (see below), whose sum is σ = 489984000. Its totient is φ = 69155856.
The previous prime is 213942061. The next prime is 213942121. The reversal of 213942114 is 411249312.
It is a happy number.
213942114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
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, 461847 + ... + 462309.
It is an arithmetic number, because the mean of its divisors is an integer number (7656000).
Almost surely, 2213942114 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213942114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244992000).
213942114 is an abundant number, since it is smaller than the sum of its proper divisors (276041886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213942114 is a wasteful number, since it uses less digits than its factorization.
213942114 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 716 (or 710 counting only the distinct ones).
The product of its digits is 1728, while the sum is 27.
The square root of 213942114 is about 14626.7602017672. The cubic root of 213942114 is about 598.0884665336.
It can be divided in two parts, 2139 and 42114, that added together give a triangular number (44253 = T297).
The spelling of 213942114 in words is "two hundred thirteen million, nine hundred forty-two thousand, one hundred fourteen".
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