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20655072 = 253271719
BaseRepresentation
bin100111011001…
…0101111100000
31102212101102200
41032302233200
520241430242
62014413200
7340364604
oct116625740
942771380
1020655072
1110728509
126b01200
134382649
142a59504
151c3004c
hex13b2be0

20655072 has 36 divisors (see below), whose sum is σ = 58738680. Its totient is φ = 6884928.

The previous prime is 20655049. The next prime is 20655101. The reversal of 20655072 is 27055602.

20655072 is a `hidden beast` number, since 2 + 0 + 655 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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, 35572 + ... + 36147.

It is an arithmetic number, because the mean of its divisors is an integer number (1631630).

Almost surely, 220655072 is an apocalyptic number.

It is an amenable number.

20655072 is an abundant number, since it is smaller than the sum of its proper divisors (38083608).

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

20655072 is a wasteful number, since it uses less digits than its factorization.

20655072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71735 (or 71724 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 20655072 is about 4544.7851434364. The cubic root of 20655072 is about 274.3735470197.

It can be divided in two parts, 206 and 55072, that added together give a triangular number (55278 = T332).

The spelling of 20655072 in words is "twenty million, six hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 71719 143438 215157 286876 430314 573752 645471 860628 1147504 1290942 1721256 2295008 2581884 3442512 5163768 6885024 10327536 20655072