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52320 = 2535109
BaseRepresentation
bin1100110001100000
32122202210
430301200
53133240
61042120
7305352
oct146140
978683
1052320
1136344
1226340
131aa78
14150d2
1510780
hexcc60

52320 has 48 divisors (see below), whose sum is σ = 166320. Its totient is φ = 13824.

The previous prime is 52313. The next prime is 52321. The reversal of 52320 is 2325.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 52296 and 52305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52320.

It is not an unprimeable number, because it can be changed into a prime (52321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (3465).

252320 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 52320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160).

52320 is an abundant number, since it is smaller than the sum of its proper divisors (114000).

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

52320 is a wasteful number, since it uses less digits than its factorization.

52320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 52320 is about 228.7356552879. The cubic root of 52320 is about 37.4015193793.

Adding to 52320 its reverse (2325), we get a palindrome (54645).

The spelling of 52320 in words is "fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 8720 10464 13080 17440 26160 52320