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20178144 = 2532710009
BaseRepresentation
bin100110011111…
…0010011100000
31101222011012200
41030332103200
520131200034
62000253200
7333340260
oct114762340
941864180
1020178144
1110432158
126911200
13424653c
1429737a0
151b88a99
hex133e4e0

20178144 has 72 divisors (see below), whose sum is σ = 65585520. Its totient is φ = 5764608.

The previous prime is 20178143. The next prime is 20178157. The reversal of 20178144 is 44187102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20178143) 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, 2989 + ... + 7020.

It is an arithmetic number, because the mean of its divisors is an integer number (910910).

Almost surely, 220178144 is an apocalyptic number.

20178144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20178144 is an abundant number, since it is smaller than the sum of its proper divisors (45407376).

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

20178144 is a wasteful number, since it uses less digits than its factorization.

20178144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10032 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20178144 is about 4492.0089047107. The cubic root of 20178144 is about 272.2453092610.

The spelling of 20178144 in words is "twenty million, one hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10009 20018 30027 40036 60054 70063 80072 90081 120108 140126 160144 180162 210189 240216 280252 320288 360324 420378 480432 560504 630567 720648 840756 960864 1121008 1261134 1441296 1681512 2242016 2522268 2882592 3363024 5044536 6726048 10089072 20178144