Search a number
-
+
10716882 = 2311712287
BaseRepresentation
bin101000111000…
…011011010010
3202011110210120
4220320123102
510220420012
61021411110
7160043361
oct50703322
922143716
1010716882
11605a830
123709a96
1322b2c67
1415cd7d8
15e1a58c
hexa386d2

10716882 has 32 divisors (see below), whose sum is σ = 23721984. Its totient is φ = 3200400.

The previous prime is 10716857. The next prime is 10716883. The reversal of 10716882 is 28861701.

It is a happy number.

It is a super-2 number, since 2×107168822 = 229703119603848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10716883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3543 + ... + 5829.

It is an arithmetic number, because the mean of its divisors is an integer number (741312).

Almost surely, 210716882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10716882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860992).

10716882 is an abundant number, since it is smaller than the sum of its proper divisors (13005102).

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

10716882 is a wasteful number, since it uses less digits than its factorization.

10716882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10716882 is about 3273.6649187111. The cubic root of 10716882 is about 220.4733746472.

Subtracting from 10716882 its product of nonzero digits (5376), we obtain a triangular number (10711506 = T4628).

The spelling of 10716882 in words is "ten million, seven hundred sixteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2287 2343 4574 4686 6861 13722 25157 50314 75471 150942 162377 324754 487131 974262 1786147 3572294 5358441 10716882