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5706 = 232317
BaseRepresentation
bin1011001001010
321211100
41121022
5140311
642230
722431
oct13112
97740
105706
114318
123376
13279c
142118
151a56
hex164a

5706 has 12 divisors (see below), whose sum is σ = 12402. Its totient is φ = 1896.

The previous prime is 5701. The next prime is 5711. The reversal of 5706 is 6075.

Added to its reverse (6075) it gives a triangular number (11781 = T153).

It is an interprime number because it is at equal distance from previous prime (5701) and next prime (5711).

It can be written as a sum of positive squares in only one way, i.e., 5625 + 81 = 75^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 317 = 5706 / (5 + 7 + 0 + 6).

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141 + ... + 176.

25706 is an apocalyptic number.

5706 is an abundant number, since it is smaller than the sum of its proper divisors (6696).

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

5706 is a wasteful number, since it uses less digits than its factorization.

5706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 322 counting only the distinct ones).

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

The square root of 5706 is about 75.5380698721. The cubic root of 5706 is about 17.8694254545.

Adding to 5706 its reverse (6075), we get a triangular number (11781 = T153).

It can be divided in two parts, 570 and 6, that added together give a square (576 = 242).

The spelling of 5706 in words is "five thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 317 634 951 1902 2853 5706