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162000 = 243453
BaseRepresentation
bin100111100011010000
322020020000
4213203100
520141000
63250000
71243206
oct474320
9266200
10162000
11100793
1279900
1358977
1443076
1533000
hex278d0

162000 has 100 divisors (see below), whose sum is σ = 585156. Its totient is φ = 43200.

The previous prime is 161999. The next prime is 162007. The reversal of 162000 is 261.

Adding to 162000 its reverse (261), we get a palindrome (162261).

It can be divided in two parts, 16 and 2000, that added together give a triangular number (2016 = T63).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 156816 = 72^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32398 + ... + 32402.

2162000 is an apocalyptic number.

162000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292578).

162000 is an abundant number, since it is smaller than the sum of its proper divisors (423156).

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

162000 is an equidigital number, since it uses as much as digits as its factorization.

162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 162000 is about 402.4922359500. The cubic root of 162000 is about 54.5136177850.

The spelling of 162000 in words is "one hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 125 135 144 150 162 180 200 216 225 240 250 270 300 324 360 375 400 405 432 450 500 540 600 648 675 720 750 810 900 1000 1080 1125 1200 1296 1350 1500 1620 1800 2000 2025 2160 2250 2700 3000 3240 3375 3600 4050 4500 5400 6000 6480 6750 8100 9000 10125 10800 13500 16200 18000 20250 27000 32400 40500 54000 81000 162000