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53320 = 2353143
BaseRepresentation
bin1101000001001000
32201010211
431001020
53201240
61050504
7311311
oct150110
981124
1053320
1137073
1226a34
131b367
1415608
1510bea
hexd048

53320 has 32 divisors (see below), whose sum is σ = 126720. Its totient is φ = 20160.

The previous prime is 53309. The next prime is 53323. The reversal of 53320 is 2335.

53320 is nontrivially palindromic in base 11.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 53320.

It is not an unprimeable number, because it can be changed into a prime (53323) by changing a digit.

53320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1219 + ... + 1261.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

253320 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 53320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360).

53320 is an abundant number, since it is smaller than the sum of its proper divisors (73400).

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

53320 is a wasteful number, since it uses less digits than its factorization.

53320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 53320 is about 230.9112383579. The cubic root of 53320 is about 37.6383041070.

Adding to 53320 its reverse (2335), we get a palindrome (55655).

It can be divided in two parts, 53 and 320, that added together give a palindrome (373).

The spelling of 53320 in words is "fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2666 5332 6665 10664 13330 26660 53320