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5365260 = 2232541727
BaseRepresentation
bin10100011101111000001100
3101002120202100
4110131320030
52333142020
6310555100
763414105
oct24357014
911076670
105365260
113034aaa
121968a90
13115b114
149d93ac
1570ea90
hex51de0c

5365260 has 72 divisors (see below), whose sum is σ = 16694496. Its totient is φ = 1393920.

The previous prime is 5365253. The next prime is 5365267. The reversal of 5365260 is 625635.

5365260 is a `hidden beast` number, since 5 + 3 + 652 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5365253) and next prime (5365267).

It is a super-3 number, since 3×53652603 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5365267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7017 + ... + 7743.

It is an arithmetic number, because the mean of its divisors is an integer number (231868).

Almost surely, 25365260 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 5365260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347248).

5365260 is an abundant number, since it is smaller than the sum of its proper divisors (11329236).

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

5365260 is a wasteful number, since it uses less digits than its factorization.

5365260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 778 counting only the distinct ones).

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

The square root of 5365260 is about 2316.3030889761. The cubic root of 5365260 is about 175.0640309905.

It can be divided in two parts, 5365 and 260, that added together give a square (5625 = 752).

The spelling of 5365260 in words is "five million, three hundred sixty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 727 738 820 1230 1454 1476 1845 2181 2460 2908 3635 3690 4362 6543 7270 7380 8724 10905 13086 14540 21810 26172 29807 32715 43620 59614 65430 89421 119228 130860 149035 178842 268263 298070 357684 447105 536526 596140 894210 1073052 1341315 1788420 2682630 5365260