Search a number
-
+
5265360 = 2432571103
BaseRepresentation
bin10100000101011111010000
3100220111201100
4110011133100
52321442420
6304504400
762516622
oct24053720
910814640
105265360
112a76a41
12191b100
1311247c9
149b0c12
156e0190
hex5057d0

5265360 has 120 divisors (see below), whose sum is σ = 18105984. Its totient is φ = 1370880.

The previous prime is 5265353. The next prime is 5265371. The reversal of 5265360 is 635625.

5265360 is a `hidden beast` number, since 5 + 2 + 653 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51069 + ... + 51171.

Almost surely, 25265360 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 5265360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052992).

5265360 is an abundant number, since it is smaller than the sum of its proper divisors (12840624).

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

5265360 is a wasteful number, since it uses less digits than its factorization.

5265360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5265360 is about 2294.6372262299. The cubic root of 5265360 is about 173.9706648921.

It can be divided in two parts, 5265 and 360, that added together give a square (5625 = 752).

The spelling of 5265360 in words is "five million, two hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 103 120 142 144 180 206 213 240 284 309 355 360 412 426 515 568 618 639 710 720 824 852 927 1030 1065 1136 1236 1278 1420 1545 1648 1704 1854 2060 2130 2472 2556 2840 3090 3195 3408 3708 4120 4260 4635 4944 5112 5680 6180 6390 7313 7416 8240 8520 9270 10224 12360 12780 14626 14832 17040 18540 21939 24720 25560 29252 36565 37080 43878 51120 58504 65817 73130 74160 87756 109695 117008 131634 146260 175512 219390 263268 292520 329085 351024 438780 526536 585040 658170 877560 1053072 1316340 1755120 2632680 5265360