Base | Representation |
---|---|
bin | 111101101110110… |
… | …0011101010100000 |
3 | 12100100121021022000 |
4 | 1323131203222200 |
5 | 13220231031244 |
6 | 541312044000 |
7 | 102221102052 |
oct | 17335435240 |
9 | 5310537260 |
10 | 2071345824 |
11 | 973247859 |
12 | 499833600 |
13 | 270197622 |
14 | 15914b8d2 |
15 | c1ca7169 |
hex | 7b763aa0 |
2071345824 has 96 divisors (see below), whose sum is σ = 6396848640. Its totient is φ = 649829376.
The previous prime is 2071345823. The next prime is 2071345849. The reversal of 2071345824 is 4285431702.
It is a happy number.
2071345824 is a `hidden beast` number, since 2 + 0 + 71 + 3 + 4 + 582 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2071345823) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55824 + ... + 85199.
It is an arithmetic number, because the mean of its divisors is an integer number (66633840).
Almost surely, 22071345824 is an apocalyptic number.
2071345824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
2071345824 is an abundant number, since it is smaller than the sum of its proper divisors (4325502816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2071345824 is a wasteful number, since it uses less digits than its factorization.
2071345824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141059 (or 141045 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 2071345824 is about 45512.0404288799. The cubic root of 2071345824 is about 1274.7280361105.
The spelling of 2071345824 in words is "two billion, seventy-one million, three hundred forty-five thousand, eight hundred twenty-four".
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