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53184 = 263277
BaseRepresentation
bin1100111111000000
32200221210
430333000
53200214
61050120
7311025
oct147700
980853
1053184
1136a5a
1226940
131b291
141554c
1510b59
hexcfc0

53184 has 28 divisors (see below), whose sum is σ = 141224. Its totient is φ = 17664.

The previous prime is 53173. The next prime is 53189. The reversal of 53184 is 48135.

53184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 53184.

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 53184.

It is not an unprimeable number, because it can be changed into a prime (53189) by changing a digit.

53184 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 330.

253184 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 53184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70612).

53184 is an abundant number, since it is smaller than the sum of its proper divisors (88040).

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

53184 is a wasteful number, since it uses less digits than its factorization.

53184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 53184 is about 230.6165648864. The cubic root of 53184 is about 37.6062763025.

The spelling of 53184 in words is "fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 277 554 831 1108 1662 2216 3324 4432 6648 8864 13296 17728 26592 53184