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20573856 = 253271437
BaseRepresentation
bin100111001111…
…0111010100000
31102201021000200
41032132322200
520231330411
62012545200
7336606042
oct116367240
942637020
1020573856
1110682496
126a82200
1343546a4
142a37a92
151c15e56
hex139eea0

20573856 has 36 divisors (see below), whose sum is σ = 58507722. Its totient is φ = 6857856.

The previous prime is 20573843. The next prime is 20573857. The reversal of 20573856 is 65837502.

20573856 is a `hidden beast` number, since 2 + 0 + 573 + 85 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15210000 + 5363856 = 3900^2 + 2316^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20573856.

It is not an unprimeable number, because it can be changed into a prime (20573857) 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, 35431 + ... + 36006.

Almost surely, 220573856 is an apocalyptic number.

It is an amenable number.

20573856 is an abundant number, since it is smaller than the sum of its proper divisors (37933866).

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

20573856 is a wasteful number, since it uses less digits than its factorization.

20573856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71453 (or 71442 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 20573856 is about 4535.8412670639. The cubic root of 20573856 is about 274.0134612528.

The spelling of 20573856 in words is "twenty million, five hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 71437 142874 214311 285748 428622 571496 642933 857244 1142992 1285866 1714488 2285984 2571732 3428976 5143464 6857952 10286928 20573856