Base | Representation |
---|---|
bin | 1000000000010000… |
… | …1000100101011110 |
3 | 12112201220112101000 |
4 | 2000010020211132 |
5 | 13400013124030 |
6 | 553111131130 |
7 | 104146343604 |
oct | 20004104536 |
9 | 5481815330 |
10 | 2148567390 |
11 | a028a0532 |
12 | 4bb673aa6 |
13 | 283194168 |
14 | 1654cd874 |
15 | c895c860 |
hex | 8010895e |
2148567390 has 128 divisors (see below), whose sum is σ = 5898309120. Its totient is φ = 556326144.
The previous prime is 2148567361. The next prime is 2148567431. The reversal of 2148567390 is 937658412.
2148567390 is a `hidden beast` number, since 21 + 485 + 67 + 3 + 90 = 666.
2148567390 is digitally balanced in base 10, 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 (45).
2148567390 is strictly pandigital in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319757 + ... + 1321383.
It is an arithmetic number, because the mean of its divisors is an integer number (46080540).
It is a 1-persistent number, because it is pandigital, but 2⋅2148567390 = 4297134780 is not.
Almost surely, 22148567390 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2148567390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949154560).
2148567390 is an abundant number, since it is smaller than the sum of its proper divisors (3749741730).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2148567390 is a wasteful number, since it uses less digits than its factorization.
2148567390 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2148567390 is about 46352.6416722931. The cubic root of 2148567390 is about 1290.3761477458.
The spelling of 2148567390 in words is "two billion, one hundred forty-eight million, five hundred sixty-seven thousand, three hundred ninety".
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