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8106516 = 22321121861
BaseRepresentation
bin11110111011001000010100
3120020212001100
4132323020110
54033402031
6445430100
7125622105
oct36731024
916225040
108106516
114637600
12286b330
1318aaa72
1411103ac
15aa1de6
hex7bb214

8106516 has 54 divisors (see below), whose sum is σ = 22535786. Its totient is φ = 2455200.

The previous prime is 8106503. The next prime is 8106523. The reversal of 8106516 is 6156018.

8106516 is a `hidden beast` number, since 8 + 1 + 0 + 651 + 6 = 666.

8106516 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4186116 + 3920400 = 2046^2 + 1980^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8106516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3426 + ... + 5286.

Almost surely, 28106516 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 8106516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267893).

8106516 is an abundant number, since it is smaller than the sum of its proper divisors (14429270).

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

8106516 is a wasteful number, since it uses less digits than its factorization.

8106516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8106516 is about 2847.1944085362. The cubic root of 8106516 is about 200.8837227525.

The spelling of 8106516 in words is "eight million, one hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1861 2178 3722 4356 5583 7444 11166 16749 20471 22332 33498 40942 61413 66996 81884 122826 184239 225181 245652 368478 450362 675543 736956 900724 1351086 2026629 2702172 4053258 8106516