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20132120 = 235503303
BaseRepresentation
bin100110011001…
…1000100011000
31101212211002002
41030303010120
520123211440
61555300132
7333056141
oct114630430
941784062
1020132120
1110400618
1268aa648
13422b5c8
142960ac8
151b7a115
hex1333118

20132120 has 16 divisors (see below), whose sum is σ = 45297360. Its totient is φ = 8052832.

The previous prime is 20132117. The next prime is 20132129. The reversal of 20132120 is 2123102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251612 + ... + 251691.

It is an arithmetic number, because the mean of its divisors is an integer number (2831085).

Almost surely, 220132120 is an apocalyptic number.

20132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132120 is an abundant number, since it is smaller than the sum of its proper divisors (25165240).

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

20132120 is a wasteful number, since it uses less digits than its factorization.

20132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503314 (or 503310 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 20132120 is about 4486.8831052302. The cubic root of 20132120 is about 272.0381650599.

Adding to 20132120 its reverse (2123102), we get a palindrome (22255222).

The spelling of 20132120 in words is "twenty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 503303 1006606 2013212 2516515 4026424 5033030 10066060 20132120