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5288120 = 235731811
BaseRepresentation
bin10100001011000010111000
3100221122221022
4110023002320
52323204440
6305202012
762643155
oct24130270
910848838
105288120
112a92052
121930308
131131c86
149b922c
156e6cb5
hex50b0b8

5288120 has 32 divisors (see below), whose sum is σ = 12067920. Its totient is φ = 2085120.

The previous prime is 5288119. The next prime is 5288147. The reversal of 5288120 is 218825.

It is a self number, because there is not a number n which added to its sum of digits gives 5288120.

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, 2015 + ... + 3825.

Almost surely, 25288120 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 5288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033960).

5288120 is an abundant number, since it is smaller than the sum of its proper divisors (6779800).

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

5288120 is a wasteful number, since it uses less digits than its factorization.

5288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 5288120 is about 2299.5912680300. The cubic root of 5288120 is about 174.2209726134.

The spelling of 5288120 in words is "five million, two hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 1811 2920 3622 7244 9055 14488 18110 36220 72440 132203 264406 528812 661015 1057624 1322030 2644060 5288120