Search a number
-
+
5284160 = 26572337
BaseRepresentation
bin10100001010000101000000
3100221110111122
4110022011000
52323043120
6305131412
762625500
oct24120500
910843448
105284160
112a8a082
121929b68
13113022b
149b7a00
156e5a25
hex50a140

5284160 has 84 divisors (see below), whose sum is σ = 14680692. Its totient is φ = 1806336.

The previous prime is 5284157. The next prime is 5284171. The reversal of 5284160 is 614825.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 3625216 = 1288^2 + 1904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15512 + ... + 15848.

Almost surely, 25284160 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 5284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340346).

5284160 is an abundant number, since it is smaller than the sum of its proper divisors (9396532).

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

5284160 is a wasteful number, since it uses less digits than its factorization.

5284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5284160 is about 2298.7300841987. The cubic root of 5284160 is about 174.1774733901.

Adding to 5284160 its reverse (614825), we get a palindrome (5898985).

The spelling of 5284160 in words is "five million, two hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 337 392 448 490 560 674 784 980 1120 1348 1568 1685 1960 2240 2359 2696 3136 3370 3920 4718 5392 6740 7840 9436 10784 11795 13480 15680 16513 18872 21568 23590 26960 33026 37744 47180 53920 66052 75488 82565 94360 107840 132104 150976 165130 188720 264208 330260 377440 528416 660520 754880 1056832 1321040 2642080 5284160