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5353360 = 245611097
BaseRepresentation
bin10100011010111110010000
3101001222102121
4110122332100
52332301420
6310424024
763334315
oct24327620
911058377
105353360
113027071
121962014
13115588c
149d4d0c
1570b2aa
hex51af90

5353360 has 40 divisors (see below), whose sum is σ = 12662136. Its totient is φ = 2104320.

The previous prime is 5353357. The next prime is 5353363. The reversal of 5353360 is 633535.

It is an interprime number because it is at equal distance from previous prime (5353357) and next prime (5353363).

It can be written as a sum of positive squares in 4 ways, for example, as 44944 + 5308416 = 212^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5353363) 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 7 ways as a sum of consecutive naturals, for example, 4332 + ... + 5428.

Almost surely, 25353360 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 5353360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331068).

5353360 is an abundant number, since it is smaller than the sum of its proper divisors (7308776).

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

5353360 is a wasteful number, since it uses less digits than its factorization.

5353360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 5353360 is about 2313.7329145777. The cubic root of 5353360 is about 174.9345061042.

Adding to 5353360 its reverse (633535), we get a palindrome (5986895).

The spelling of 5353360 in words is "five million, three hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1097 1220 2194 2440 4388 4880 5485 8776 10970 17552 21940 43880 66917 87760 133834 267668 334585 535336 669170 1070672 1338340 2676680 5353360