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20527120 = 245256589
BaseRepresentation
bin100111001001…
…1100000010000
31102121212220201
41032103200100
520223331440
62011544544
7336322555
oct116234020
942555821
1020527120
1110650369
126a5b154
134339333
142a24a2c
151c0719a
hex1393810

20527120 has 20 divisors (see below), whose sum is σ = 47725740. Its totient is φ = 8210816.

The previous prime is 20527093. The next prime is 20527127. The reversal of 20527120 is 2172502.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 13808656 = 2592^2 + 3716^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (20527127) 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, 128215 + ... + 128374.

It is an arithmetic number, because the mean of its divisors is an integer number (2386287).

Almost surely, 220527120 is an apocalyptic number.

20527120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20527120 is an abundant number, since it is smaller than the sum of its proper divisors (27198620).

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

20527120 is a wasteful number, since it uses less digits than its factorization.

20527120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256602 (or 256596 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 20527120 is about 4530.6864822011. The cubic root of 20527120 is about 273.8058190491.

Adding to 20527120 its reverse (2172502), we get a palindrome (22699622).

The spelling of 20527120 in words is "twenty million, five hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 256589 513178 1026356 1282945 2052712 2565890 4105424 5131780 10263560 20527120