Search a number
-
+
5017860 = 2232561457
BaseRepresentation
bin10011001001000100000100
3100102221012200
4103021010010
52241032420
6255314500
760436221
oct23110404
910387180
105017860
112917aa1
12181ba30
131068c63
14948948
15691b90
hex4c9104

5017860 has 72 divisors (see below), whose sum is σ = 15504216. Its totient is φ = 1313280.

The previous prime is 5017819. The next prime is 5017871. The reversal of 5017860 is 687105.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 4769856 = 498^2 + 2184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10752 + ... + 11208.

Almost surely, 25017860 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 5017860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752108).

5017860 is an abundant number, since it is smaller than the sum of its proper divisors (10486356).

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

5017860 is a wasteful number, since it uses less digits than its factorization.

5017860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5017860 is about 2240.0580349625. The cubic root of 5017860 is about 171.2009538626.

The spelling of 5017860 in words is "five million, seventeen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 457 549 610 732 914 915 1098 1220 1371 1828 1830 2196 2285 2742 2745 3660 4113 4570 5484 5490 6855 8226 9140 10980 13710 16452 20565 27420 27877 41130 55754 82260 83631 111508 139385 167262 250893 278770 334524 418155 501786 557540 836310 1003572 1254465 1672620 2508930 5017860