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20512544 = 251323793
BaseRepresentation
bin100111000111…
…1111100100000
31102121010220212
41032033330200
520222400134
62011353252
7336232223
oct116177440
942533825
1020512544
1110640418
126a52828
134332800
142a1d5ba
151c02bce
hex138ff20

20512544 has 36 divisors (see below), whose sum is σ = 43741026. Its totient is φ = 9464832.

The previous prime is 20512543. The next prime is 20512561. The reversal of 20512544 is 44521502.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6822544 + 13690000 = 2612^2 + 3700^2 .

It is a super-2 number, since 2×205125442 = 841528922703872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20512543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3512 + ... + 7304.

Almost surely, 220512544 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 20512544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21870513).

20512544 is an abundant number, since it is smaller than the sum of its proper divisors (23228482).

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

20512544 is a wasteful number, since it uses less digits than its factorization.

20512544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 20512544 is about 4529.0776102867. The cubic root of 20512544 is about 273.7409952349.

The spelling of 20512544 in words is "twenty million, five hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 3793 5408 7586 15172 30344 49309 60688 98618 121376 197236 394472 641017 788944 1282034 1577888 2564068 5128136 10256272 20512544