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5332320 = 253257232
BaseRepresentation
bin10100010101110101100000
3101000220120100
4110111311200
52331113240
6310142400
763216060
oct24256540
911026510
105332320
113012284
121951a00
131149126
149cb3a0
15704e30
hex515d60

5332320 has 216 divisors, whose sum is σ = 21739536. Its totient is φ = 1165824.

The previous prime is 5332309. The next prime is 5332321. The reversal of 5332320 is 232335.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 55 + 38 + 312 + 25 + 314 + 213 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 5332293 and 5332302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5332321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231829 + ... + 231851.

It is an arithmetic number, because the mean of its divisors is an integer number (100646).

Almost surely, 25332320 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 5332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869768).

5332320 is an abundant number, since it is smaller than the sum of its proper divisors (16407216).

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

5332320 is a wasteful number, since it uses less digits than its factorization.

5332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 5332320 is about 2309.1816732340. The cubic root of 5332320 is about 174.7050268938.

Adding to 5332320 its reverse (232335), we get a palindrome (5564655).

The spelling of 5332320 in words is "five million, three hundred thirty-two thousand, three hundred twenty".