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192000 = 29353
BaseRepresentation
bin101110111000000000
3100202101010
4232320000
522121000
64040520
71426524
oct567000
9322333
10192000
11121286
1293140
1369513
144dd84
153bd50
hex2ee00

192000 has 80 divisors (see below), whose sum is σ = 638352. Its totient is φ = 51200.

The previous prime is 191999. The next prime is 192007. The reversal of 192000 is 291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an ABA number since it can be written as A⋅BA, here for A=3, B=40.

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

It is an Ulam number.

192000 is a Rhonda number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38398 + ... + 38402.

2192000 is an apocalyptic number.

192000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

192000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176).

192000 is an abundant number, since it is smaller than the sum of its proper divisors (446352).

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

192000 is an frugal number, since it uses more digits than its factorization.

192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 192000 is about 438.1780460041. The cubic root of 192000 is about 57.6899828123.

Adding to 192000 its reverse (291), we get a palindrome (192291).

The spelling of 192000 in words is "one hundred ninety-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3200 3840 4000 4800 6000 6400 7680 8000 9600 12000 12800 16000 19200 24000 32000 38400 48000 64000 96000 192000