Base | Representation |
---|---|
bin | 1010100110110110… |
… | …10011001001110000 |
3 | 112200212110022022001 |
4 | 11103123103021300 |
5 | 43130311220220 |
6 | 2341023423344 |
7 | 261055402201 |
oct | 52333231160 |
9 | 15625408261 |
10 | 5694632560 |
11 | 2462520801 |
12 | 112b154b54 |
13 | 6c9a3bb86 |
14 | 3c043d5a8 |
15 | 234e1880a |
hex | 1536d3270 |
5694632560 has 80 divisors (see below), whose sum is σ = 14292210240. Its totient is φ = 2103664640.
The previous prime is 5694632551. The next prime is 5694632561. The reversal of 5694632560 is 652364965.
5694632560 is a nontrivial binomial coefficient, being equal to C(106721, 2).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (46).
It is a self number, because there is not a number n which added to its sum of digits gives 5694632560.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5694632561) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 106720.
It is an arithmetic number, because the mean of its divisors is an integer number (178652628).
Almost surely, 25694632560 is an apocalyptic number.
5694632560 is the 106720-th triangular number.
5694632560 is the 35574-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5694632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146105120).
5694632560 is an abundant number, since it is smaller than the sum of its proper divisors (8597577680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5694632560 is a wasteful number, since it uses less digits than its factorization.
5694632560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 106786 (or 106780 counting only the distinct ones).
The product of its (nonzero) digits is 1166400, while the sum is 46.
The square root of 5694632560 is about 75462.7892407907. The cubic root of 5694632560 is about 1785.7551131481.
The spelling of 5694632560 in words is "five billion, six hundred ninety-four million, six hundred thirty-two thousand, five hundred sixty".
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