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5355360 = 253253719
BaseRepresentation
bin10100011011011101100000
3101002002011200
4110123131200
52332332420
6310441200
763343203
oct24333540
911062150
105355360
11302861a
121963200
13115676a
149d593a
1570bb90
hex51b760

5355360 has 72 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1427712.

The previous prime is 5355341. The next prime is 5355367. The reversal of 5355360 is 635535.

It is a happy number.

5355360 is a `hidden beast` number, since 53 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355367) 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 11 ways as a sum of consecutive naturals, for example, 420 + ... + 3299.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 25355360 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 5355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

5355360 is an abundant number, since it is smaller than the sum of its proper divisors (12924720).

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

5355360 is a wasteful number, since it uses less digits than its factorization.

5355360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 5355360 is about 2314.1650762208. The cubic root of 5355360 is about 174.9562884023.

The spelling of 5355360 in words is "five million, three hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3719 7438 11157 14876 18595 22314 29752 33471 37190 44628 55785 59504 66942 74380 89256 111570 119008 133884 148760 167355 178512 223140 267768 297520 334710 357024 446280 535536 595040 669420 892560 1071072 1338840 1785120 2677680 5355360