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5760 = 27325
BaseRepresentation
bin1011010000000
321220100
41122000
5141020
642400
722536
oct13200
97810
105760
114367
123400
132811
142156
151a90
hex1680

5760 has 48 divisors (see below), whose sum is σ = 19890. Its totient is φ = 1536.

The previous prime is 5749. The next prime is 5779. The reversal of 5760 is 675.

Adding to 5760 its sum of digits (18), we get a triangular number (5778 = T107).

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)3.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 576 = 72^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is an unprimeable number.

5760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1150 + ... + 1154.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945).

5760 is an abundant number, since it is smaller than the sum of its proper divisors (14130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5760 is a wasteful number, since it uses less digits than its factorization.

5760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5760 is about 75.8946638440. The cubic root of 5760 is about 17.9256189862.

The spelling of 5760 in words is "five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760