Search a number
-
+
192384 = 2732167
BaseRepresentation
bin101110111110000000
3100202220100
4232332000
522124014
64042400
71430613
oct567600
9322810
10192384
111215a5
1293400
136974a
145017a
153c009
hex2ef80

192384 has 48 divisors (see below), whose sum is σ = 556920. Its totient is φ = 63744.

The previous prime is 192383. The next prime is 192391. The reversal of 192384 is 483291.

It can be divided in two parts, 192 and 384, that added together give a square (576 = 242).

192384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1069 + ... + 1235.

2192384 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 192384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460).

192384 is an abundant number, since it is smaller than the sum of its proper divisors (364536).

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

192384 is a wasteful number, since it uses less digits than its factorization.

192384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 192384 is about 438.6160051799. The cubic root of 192384 is about 57.7284171893.

The spelling of 192384 in words is "one hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 288 334 384 501 576 668 1002 1152 1336 1503 2004 2672 3006 4008 5344 6012 8016 10688 12024 16032 21376 24048 32064 48096 64128 96192 192384