Base | Representation |
---|---|
bin | 111011101001001… |
… | …1001000000000000 |
3 | 12011110211001210100 |
4 | 1313102121000000 |
5 | 13044313402241 |
6 | 530331002400 |
7 | 100410565101 |
oct | 16722310000 |
9 | 5143731710 |
10 | 2001309696 |
11 | 937761661 |
12 | 47a299400 |
13 | 25b815529 |
14 | 14db1a3a8 |
15 | baa709b6 |
hex | 77499000 |
2001309696 has 117 divisors (see below), whose sum is σ = 5805772609. Its totient is φ = 664240128.
The previous prime is 2001309689. The next prime is 2001309707. The reversal of 2001309696 is 6969031002.
The square root of 2001309696 is 44736.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 406425600 + 1594884096 = 20160^2 + 39936^2 .
It is a super-2 number, since 2×20013096962 = 8010480998607224832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 2001309696.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8589196 + ... + 8589428.
Almost surely, 22001309696 is an apocalyptic number.
2001309696 is the 44736-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2001309696
2001309696 is an abundant number, since it is smaller than the sum of its proper divisors (3804462913).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001309696 is an frugal number, since it uses more digits than its factorization.
2001309696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 496 (or 238 counting only the distinct ones).
The product of its (nonzero) digits is 17496, while the sum is 36.
The cubic root of 2001309696 is about 1260.1960088114.
Multiplying 2001309696 by its sum of digits (36), we get a square (72047149056 = 2684162).
2001309696 divided by its sum of digits (36) gives a square (55591936 = 74562).
The spelling of 2001309696 in words is "two billion, one million, three hundred nine thousand, six hundred ninety-six".
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