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5288360 = 23571117101
BaseRepresentation
bin10100001011000110101000
3100221200021012
4110023012220
52323211420
6305203052
762643650
oct24130650
910850235
105288360
112a92250
121930488
13113210c
149b9360
156e6dc5
hex50b1a8

5288360 has 128 divisors (see below), whose sum is σ = 15863040. Its totient is φ = 1536000.

The previous prime is 5288359. The next prime is 5288363. The reversal of 5288360 is 638825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52310 + ... + 52410.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

Almost surely, 25288360 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 5288360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931520).

5288360 is an abundant number, since it is smaller than the sum of its proper divisors (10574680).

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

5288360 is a wasteful number, since it uses less digits than its factorization.

5288360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5288360 is about 2299.6434506245. The cubic root of 5288360 is about 174.2236082319.

It can be divided in two parts, 528 and 8360, that added together give a palindrome (8888).

The spelling of 5288360 in words is "five million, two hundred eighty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 101 110 119 136 140 154 170 187 202 220 238 280 308 340 374 385 404 440 476 505 595 616 680 707 748 770 808 935 952 1010 1111 1190 1309 1414 1496 1540 1717 1870 2020 2222 2380 2618 2828 3080 3434 3535 3740 4040 4444 4760 5236 5555 5656 6545 6868 7070 7480 7777 8585 8888 10472 11110 12019 13090 13736 14140 15554 17170 18887 22220 24038 26180 28280 31108 34340 37774 38885 44440 48076 52360 60095 62216 68680 75548 77770 94435 96152 120190 132209 151096 155540 188870 240380 264418 311080 377740 480760 528836 661045 755480 1057672 1322090 2644180 5288360