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5268320 = 255191733
BaseRepresentation
bin10100000110001101100000
3100220122202222
4110012031200
52322041240
6304530212
762531351
oct24061540
910818688
105268320
112a79192
121920968
131125c65
149b1d28
156e0eb5
hex506360

5268320 has 48 divisors (see below), whose sum is σ = 13109040. Its totient is φ = 1995264.

The previous prime is 5268299. The next prime is 5268397. The reversal of 5268320 is 238625.

It is a self number, because there is not a number n which added to its sum of digits gives 5268320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2174 + ... + 3906.

It is an arithmetic number, because the mean of its divisors is an integer number (273105).

Almost surely, 25268320 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 5268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554520).

5268320 is an abundant number, since it is smaller than the sum of its proper divisors (7840720).

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

5268320 is a wasteful number, since it uses less digits than its factorization.

5268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1759 counting only the distinct ones).

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

The square root of 5268320 is about 2295.2821177363. The cubic root of 5268320 is about 174.0032588459.

The spelling of 5268320 in words is "five million, two hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 1733 3040 3466 6932 8665 13864 17330 27728 32927 34660 55456 65854 69320 131708 138640 164635 263416 277280 329270 526832 658540 1053664 1317080 2634160 5268320