Base | Representation |
---|---|
bin | 100010000010101… |
… | …0111010111010000 |
3 | 2221121100200011200 |
4 | 1010011113113100 |
5 | 4314404211404 |
6 | 305202311200 |
7 | 40210011432 |
oct | 10405272720 |
9 | 2847320150 |
10 | 1142257104 |
11 | 53685773a |
12 | 27a658500 |
13 | 1528579a1 |
14 | ab9bc652 |
15 | 6a431839 |
hex | 441575d0 |
1142257104 has 90 divisors (see below), whose sum is σ = 3313300770. Its totient is φ = 366920064.
The previous prime is 1142257099. The next prime is 1142257157. The reversal of 1142257104 is 4017522411.
It can be written as a sum of positive squares in only one way, i.e., 984704400 + 157552704 = 31380^2 + 12552^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2183787 + ... + 2184309.
It is an arithmetic number, because the mean of its divisors is an integer number (36814453).
Almost surely, 21142257104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1142257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656650385).
1142257104 is an abundant number, since it is smaller than the sum of its proper divisors (2171043666).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142257104 is an equidigital number, since it uses as much as digits as its factorization.
1142257104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1089 (or 557 counting only the distinct ones).
The product of its (nonzero) digits is 2240, while the sum is 27.
The square root of 1142257104 is about 33797.2943295761. The cubic root of 1142257104 is about 1045.3329079823.
Adding to 1142257104 its reverse (4017522411), we get a palindrome (5159779515).
The spelling of 1142257104 in words is "one billion, one hundred forty-two million, two hundred fifty-seven thousand, one hundred four".
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