Search a number
-
+
8068536 = 2332722287
BaseRepresentation
bin11110110001110110111000
3120011220221200
4132301312320
54031143121
6444534200
7125403300
oct36616670
916156850
108068536
114611013
122851360
1318966a8
141100600
15a95a26
hex7b1db8

8068536 has 72 divisors (see below), whose sum is σ = 25431120. Its totient is φ = 2304288.

The previous prime is 8068519. The next prime is 8068573. The reversal of 8068536 is 6358608.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8068536.

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, 2385 + ... + 4671.

It is an arithmetic number, because the mean of its divisors is an integer number (353210).

Almost surely, 28068536 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 8068536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715560).

8068536 is an abundant number, since it is smaller than the sum of its proper divisors (17362584).

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

8068536 is a wasteful number, since it uses less digits than its factorization.

8068536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8068536 is about 2840.5168543770. The cubic root of 8068536 is about 200.5695100853.

The spelling of 8068536 in words is "eight million, sixty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2287 3528 4574 6861 9148 13722 16009 18296 20583 27444 32018 41166 48027 54888 64036 82332 96054 112063 128072 144081 164664 192108 224126 288162 336189 384216 448252 576324 672378 896504 1008567 1152648 1344756 2017134 2689512 4034268 8068536