Base | Representation |
---|---|
bin | 10110111000110010010000 |
3 | 102021211010100 |
4 | 112320302100 |
5 | 3013443020 |
6 | 332332400 |
7 | 101666004 |
oct | 26706220 |
9 | 12254110 |
10 | 5999760 |
11 | 3428788 |
12 | 2014100 |
13 | 1320b70 |
14 | b22704 |
15 | 7d7a90 |
hex | 5b8c90 |
5999760 has 120 divisors (see below), whose sum is σ = 21732984. Its totient is φ = 1474560.
The previous prime is 5999743. The next prime is 5999767. The reversal of 5999760 is 679995.
It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 5253264 = 864^2 + 2292^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5999767) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9040 + ... + 9680.
Almost surely, 25999760 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 5999760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866492).
5999760 is an abundant number, since it is smaller than the sum of its proper divisors (15733224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5999760 is a wasteful number, since it uses less digits than its factorization.
5999760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 673 (or 664 counting only the distinct ones).
The product of its (nonzero) digits is 153090, while the sum is 45.
The square root of 5999760 is about 2449.4407524984. The cubic root of 5999760 is about 181.7096364235.
The spelling of 5999760 in words is "five million, nine hundred ninety-nine thousand, seven hundred sixty".
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