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20132144 = 2431371097
BaseRepresentation
bin100110011001…
…1000100110000
31101212211002222
41030303010300
520123212034
61555300212
7333056204
oct114630460
941784088
1020132144
111040063a
1268aa668
13422b616
142960b04
151b7a12e
hex1333130

20132144 has 40 divisors (see below), whose sum is σ = 41390208. Its totient is φ = 9469440.

The previous prime is 20132129. The next prime is 20132149. The reversal of 20132144 is 44123102.

It is not an unprimeable number, because it can be changed into a prime (20132149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17804 + ... + 18900.

Almost surely, 220132144 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 20132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20695104).

20132144 is an abundant number, since it is smaller than the sum of its proper divisors (21258064).

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

20132144 is a wasteful number, since it uses less digits than its factorization.

20132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20132144 is about 4486.8857796917. The cubic root of 20132144 is about 272.0382731610.

Adding to 20132144 its reverse (44123102), we get a palindrome (64255246).

The spelling of 20132144 in words is "twenty million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1097 1147 2194 2294 4388 4588 8776 9176 17552 18352 34007 40589 68014 81178 136028 162356 272056 324712 544112 649424 1258259 2516518 5033036 10066072 20132144