Search a number
-
+
5287860 = 22325291013
BaseRepresentation
bin10100001010111110110100
3100221122120200
4110022332310
52323202420
6305200500
762642334
oct24127664
910848520
105287860
112a91936
121930130
131131b16
149b90c4
156e6b90
hex50afb4

5287860 has 72 divisors (see below), whose sum is σ = 16609320. Its totient is φ = 1360128.

The previous prime is 5287859. The next prime is 5287879. The reversal of 5287860 is 687825.

5287860 is a `hidden beast` number, since 528 + 78 + 60 = 666.

5287860 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 5280804 = 84^2 + 2298^2 .

It is a super-2 number, since 2×52878602 = 55922926759200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4714 + ... + 5726.

It is an arithmetic number, because the mean of its divisors is an integer number (230685).

Almost surely, 25287860 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 5287860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304660).

5287860 is an abundant number, since it is smaller than the sum of its proper divisors (11321460).

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

5287860 is a wasteful number, since it uses less digits than its factorization.

5287860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5287860 is about 2299.5347355498. The cubic root of 5287860 is about 174.2181172700.

The spelling of 5287860 in words is "five million, two hundred eighty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1013 1044 1305 1740 2026 2610 3039 4052 5065 5220 6078 9117 10130 12156 15195 18234 20260 29377 30390 36468 45585 58754 60780 88131 91170 117508 146885 176262 182340 264393 293770 352524 440655 528786 587540 881310 1057572 1321965 1762620 2643930 5287860