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5305260 = 2235293049
BaseRepresentation
bin10100001111001110101100
3100222112110010
4110033032230
52324232020
6305413220
763044142
oct24171654
910875403
105305260
112aa3a14
12193a210
131139a0c
149c1592
156ebde0
hex50f3ac

5305260 has 48 divisors (see below), whose sum is σ = 15372000. Its totient is φ = 1365504.

The previous prime is 5305253. The next prime is 5305273. The reversal of 5305260 is 625035.

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, 216 + ... + 3264.

It is an arithmetic number, because the mean of its divisors is an integer number (320250).

Almost surely, 25305260 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 5305260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7686000).

5305260 is an abundant number, since it is smaller than the sum of its proper divisors (10066740).

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

5305260 is a wasteful number, since it uses less digits than its factorization.

5305260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5305260 is about 2303.3150023390. The cubic root of 5305260 is about 174.4089995496.

It can be divided in two parts, 5305 and 260, that added together give a triangular number (5565 = T105).

The spelling of 5305260 in words is "five million, three hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 3049 6098 9147 12196 15245 18294 30490 36588 45735 60980 88421 91470 176842 182940 265263 353684 442105 530526 884210 1061052 1326315 1768420 2652630 5305260