Search a number
-
+
5287240 = 235723821
BaseRepresentation
bin10100001010110101001000
3100221121201201
4110022311020
52323142430
6305153544
762640460
oct24126510
910847651
105287240
112a91422
12192b8b4
13113175a
149b8ba0
156e68ca
hex50ad48

5287240 has 64 divisors (see below), whose sum is σ = 14204160. Its totient is φ = 1731840.

The previous prime is 5287229. The next prime is 5287253. The reversal of 5287240 is 427825.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5287199 and 5287208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6030 + ... + 6850.

It is an arithmetic number, because the mean of its divisors is an integer number (221940).

Almost surely, 25287240 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 5287240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102080).

5287240 is an abundant number, since it is smaller than the sum of its proper divisors (8916920).

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

5287240 is a wasteful number, since it uses less digits than its factorization.

5287240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 5287240 is about 2299.3999217187. The cubic root of 5287240 is about 174.2113079965.

The spelling of 5287240 in words is "five million, two hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 821 920 1288 1610 1642 3220 3284 4105 5747 6440 6568 8210 11494 16420 18883 22988 28735 32840 37766 45976 57470 75532 94415 114940 132181 151064 188830 229880 264362 377660 528724 660905 755320 1057448 1321810 2643620 5287240