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20947284 = 2232581869
BaseRepresentation
bin100111111101…
…0000101010100
31110102020021100
41033322011110
520330303114
62024550100
7343022541
oct117720524
943366240
1020947284
1110908006
127022330
134455657
142ad3bc8
151c8b909
hex13fa154

20947284 has 18 divisors (see below), whose sum is σ = 52950170. Its totient is φ = 6982416.

The previous prime is 20947271. The next prime is 20947327. The reversal of 20947284 is 48274902.

It can be written as a sum of positive squares in only one way, i.e., 20903184 + 44100 = 4572^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 581869 = 20947284 / (2 + 0 + 9 + 4 + 7 + 2 + 8 + 4).

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, 290899 + ... + 290970.

Almost surely, 220947284 is an apocalyptic number.

It is an amenable number.

20947284 is an abundant number, since it is smaller than the sum of its proper divisors (32002886).

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

20947284 is a wasteful number, since it uses less digits than its factorization.

20947284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581879 (or 581874 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20947284 is about 4576.8202936100. The cubic root of 20947284 is about 275.6613679316.

The spelling of 20947284 in words is "twenty million, nine hundred forty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 581869 1163738 1745607 2327476 3491214 5236821 6982428 10473642 20947284