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2160144 = 243272143
BaseRepresentation
bin1000001111011000010000
311001202011100
420033120100
51023111034
6114144400
724234540
oct10173020
94052140
102160144
111245a48
12882100
135a82bc
14403320
152ca099
hex20f610

2160144 has 60 divisors (see below), whose sum is σ = 6912256. Its totient is φ = 616896.

The previous prime is 2160133. The next prime is 2160149. The reversal of 2160144 is 4410612.

2160144 is a `hidden beast` number, since 21 + 601 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2160149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 2079.

22160144 is an apocalyptic number.

2160144 is a gapful number since it is divisible by the number (24) 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 2160144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456128).

2160144 is an abundant number, since it is smaller than the sum of its proper divisors (4752112).

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

2160144 is a wasteful number, since it uses less digits than its factorization.

2160144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2160144 is about 1469.7428346483. The cubic root of 2160144 is about 129.2689539177.

Adding to 2160144 its reverse (4410612), we get a palindrome (6570756).

It can be divided in two parts, 2160 and 144, that added together give a square (2304 = 482).

The spelling of 2160144 in words is "two million, one hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2143 4286 6429 8572 12858 15001 17144 19287 25716 30002 34288 38574 45003 51432 60004 77148 90006 102864 120008 135009 154296 180012 240016 270018 308592 360024 540036 720048 1080072 2160144