Search a number
-
+
5305080 = 2335114019
BaseRepresentation
bin10100001111001011111000
3100222112012110
4110033023320
52324230310
6305412320
763043464
oct24171370
910875173
105305080
112aa3870
12193a0a0
131139901
149c14a4
156ebd20
hex50f2f8

5305080 has 64 divisors (see below), whose sum is σ = 17366400. Its totient is φ = 1285760.

The previous prime is 5305073. The next prime is 5305093. The reversal of 5305080 is 805035.

It is a congruent number.

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, 690 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (271350).

Almost surely, 25305080 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 5305080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683200).

5305080 is an abundant number, since it is smaller than the sum of its proper divisors (12061320).

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

5305080 is a wasteful number, since it uses less digits than its factorization.

5305080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5305080 is about 2303.2759278905. The cubic root of 5305080 is about 174.4070270434.

The spelling of 5305080 in words is "five million, three hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4019 8038 12057 16076 20095 24114 32152 40190 44209 48228 60285 80380 88418 96456 120570 132627 160760 176836 221045 241140 265254 353672 442090 482280 530508 663135 884180 1061016 1326270 1768360 2652540 5305080