Search a number
-
+
10712 = 2313103
BaseRepresentation
bin10100111011000
3112200202
42213120
5320322
6121332
743142
oct24730
915622
1010712
118059
126248
134b50
143c92
153292
hex29d8

10712 has 16 divisors (see below), whose sum is σ = 21840. Its totient is φ = 4896.

The previous prime is 10711. The next prime is 10723. The reversal of 10712 is 21701.

Subtracting from 10712 its sum of digits (11), we obtain a palindrome (10701).

10712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107122 = 229493888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10693 and 10702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10711) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 53 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

210712 is an apocalyptic number.

It is a pronic number, being equal to 103×104.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920).

10712 is an abundant number, since it is smaller than the sum of its proper divisors (11128).

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

10712 is a wasteful number, since it uses less digits than its factorization.

10712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10712 is about 103.4987922635. The cubic root of 10712 is about 22.0439891199.

The spelling of 10712 in words is "ten thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 13 26 52 103 104 206 412 824 1339 2678 5356 10712