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10792 = 231971

10792 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 5040.

The previous prime is 10789. The next prime is 10799. The reversal of 10792 is 29701.

It can be divided in two parts, 1079 and 2, that added together give a triangular number (1081 = T46).

10792 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10799) 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 3 ways as a sum of consecutive naturals, for example, 117 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

210792 is an apocalyptic number.

It is an amenable number.

10792 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

10792 is a wasteful number, since it uses less digits than its factorization.

10792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10792 is about 103.8845513058. The cubic root of 10792 is about 22.0987298192.

The spelling of 10792 in words is "ten thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 19 38 71 76 142 152 284 568 1349 2698 5396 10792