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8106912 = 253311853
BaseRepresentation
bin11110111011001110100000
3120020212121000
4132323032200
54033410122
6445432000
7125623212
oct36731640
916225530
108106912
114637930
12286b600
1318aacb8
1411105b2
15aa20ac
hex7bb3a0

8106912 has 96 divisors (see below), whose sum is σ = 25824960. Its totient is φ = 2453760.

The previous prime is 8106907. The next prime is 8106913. The reversal of 8106912 is 2196018.

8106912 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8106913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9078 + ... + 9930.

It is an arithmetic number, because the mean of its divisors is an integer number (269010).

Almost surely, 28106912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912480).

8106912 is an abundant number, since it is smaller than the sum of its proper divisors (17718048).

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

8106912 is a wasteful number, since it uses less digits than its factorization.

8106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 8106912 is about 2847.2639498297. The cubic root of 8106912 is about 200.8869937286.

The spelling of 8106912 in words is "eight million, one hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 853 864 1056 1188 1584 1706 2376 2559 3168 3412 4752 5118 6824 7677 9383 9504 10236 13648 15354 18766 20472 23031 27296 28149 30708 37532 40944 46062 56298 61416 75064 81888 84447 92124 112596 122832 150128 168894 184248 225192 245664 253341 300256 337788 368496 450384 506682 675576 736992 900768 1013364 1351152 2026728 2702304 4053456 8106912