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8265320 = 235724217
BaseRepresentation
bin11111100001111001101000
3120112220212222
4133201321220
54103442240
6453053212
7130153100
oct37417150
916486788
108265320
114735948
122927208
13193512b
141152200
15ad3eb5
hex7e1e68

8265320 has 48 divisors (see below), whose sum is σ = 21638340. Its totient is φ = 2833152.

The previous prime is 8265311. The next prime is 8265329. The reversal of 8265320 is 235628.

It is an interprime number because it is at equal distance from previous prime (8265311) and next prime (8265329).

It can be written as a sum of positive squares in 2 ways, for example, as 8076964 + 188356 = 2842^2 + 434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8265320.

It is not an unprimeable number, because it can be changed into a prime (8265329) 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 11 ways as a sum of consecutive naturals, for example, 149 + ... + 4068.

Almost surely, 28265320 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 8265320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10819170).

8265320 is an abundant number, since it is smaller than the sum of its proper divisors (13373020).

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

8265320 is a wasteful number, since it uses less digits than its factorization.

8265320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 8265320 is about 2874.9469560324. The cubic root of 8265320 is about 202.1869980287.

The spelling of 8265320 in words is "eight million, two hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 4217 8434 16868 21085 29519 33736 42170 59038 84340 118076 147595 168680 206633 236152 295190 413266 590380 826532 1033165 1180760 1653064 2066330 4132660 8265320