Search a number
-
+
5712 = 243717
BaseRepresentation
bin1011001010000
321211120
41121100
5140322
642240
722440
oct13120
97746
105712
114323
123380
1327a5
142120
151a5c
hex1650

5712 has 40 divisors (see below), whose sum is σ = 17856. Its totient is φ = 1536.

The previous prime is 5711. The next prime is 5717. The reversal of 5712 is 2175.

It is a happy number.

5712 is an esthetic number in base 11, because in such base it adjacent digits differ by 1.

Its product of digits (70) is a multiple of the sum of its prime factors (35).

It is a junction number, because it is equal to n+sod(n) for n = 5691 and 5700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 344.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928).

5712 is an abundant number, since it is smaller than the sum of its proper divisors (12144).

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

5712 is a wasteful number, since it uses less digits than its factorization.

5712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 29 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 5712 is about 75.5777745108. The cubic root of 5712 is about 17.8756866413.

The spelling of 5712 in words is "five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712