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5775760 = 245234373
BaseRepresentation
bin10110000010000110010000
3101212102212001
4112002012100
52434311020
6323443344
7100043644
oct26020620
911772761
105775760
113295461
121b26554
131272c13
14aa4c24
1579150a
hex582190

5775760 has 80 divisors (see below), whose sum is σ = 14534784. Its totient is φ = 2128896.

The previous prime is 5775751. The next prime is 5775799. The reversal of 5775760 is 675775.

5775760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79084 + ... + 79156.

Almost surely, 25775760 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 5775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267392).

5775760 is an abundant number, since it is smaller than the sum of its proper divisors (8759024).

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

5775760 is a wasteful number, since it uses less digits than its factorization.

5775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 37.

The square root of 5775760 is about 2403.2810905094. The cubic root of 5775760 is about 179.4195292654.

The spelling of 5775760 in words is "five million, seven hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 43 46 73 80 86 92 115 146 172 184 215 230 292 344 365 368 430 460 584 688 730 860 920 989 1168 1460 1679 1720 1840 1978 2920 3139 3358 3440 3956 4945 5840 6278 6716 7912 8395 9890 12556 13432 15695 15824 16790 19780 25112 26864 31390 33580 39560 50224 62780 67160 72197 79120 125560 134320 144394 251120 288788 360985 577576 721970 1155152 1443940 2887880 5775760