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8268390 = 23251337191
BaseRepresentation
bin11111100010101001100110
3120120002002200
4133202221212
54104042030
6453115330
7130165044
oct37425146
916502080
108268390
114738189
122928b46
131936650
141153394
15ad4d60
hex7e2a66

8268390 has 96 divisors (see below), whose sum is σ = 23901696. Its totient is φ = 1969920.

The previous prime is 8268389. The next prime is 8268397. The reversal of 8268390 is 938628.

8268390 is a `hidden beast` number, since 8 + 268 + 390 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8268397) 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 47 ways as a sum of consecutive naturals, for example, 43195 + ... + 43385.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 28268390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8268390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848).

8268390 is an abundant number, since it is smaller than the sum of its proper divisors (15633306).

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

8268390 is a wasteful number, since it uses less digits than its factorization.

8268390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8268390 is about 2875.4808293571. The cubic root of 8268390 is about 202.2120278017.

It can be divided in two parts, 826 and 8390, that added together give a square (9216 = 962).

The spelling of 8268390 in words is "eight million, two hundred sixty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 191 195 222 234 333 370 382 390 481 555 573 585 666 955 962 1110 1146 1170 1443 1665 1719 1910 2405 2483 2865 2886 3330 3438 4329 4810 4966 5730 7067 7215 7449 8595 8658 12415 14134 14430 14898 17190 21201 21645 22347 24830 35335 37245 42402 43290 44694 63603 70670 74490 91871 106005 111735 127206 183742 212010 223470 275613 318015 459355 551226 636030 826839 918710 1378065 1653678 2756130 4134195 8268390