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20927628 = 2232581323
BaseRepresentation
bin100111111010…
…1010010001100
31110101020022100
41033311102030
520324141003
62024315100
7342611331
oct117652214
943336270
1020927628
11108a4267
127012a90
134449717
142aca988
151c85ba3
hex13f548c

20927628 has 18 divisors (see below), whose sum is σ = 52900484. Its totient is φ = 6975864.

The previous prime is 20927609. The next prime is 20927639. The reversal of 20927628 is 82672902.

20927628 is a `hidden beast` number, since 2 + 0 + 9 + 27 + 628 = 666.

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

It is a super-2 number, since 2×209276282 = 875931227412768, which contains 22 as substring.

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: 581323 = 20927628 / (2 + 0 + 9 + 2 + 7 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 20927592 and 20927601.

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, 290626 + ... + 290697.

Almost surely, 220927628 is an apocalyptic number.

It is an amenable number.

20927628 is an abundant number, since it is smaller than the sum of its proper divisors (31972856).

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

20927628 is a wasteful number, since it uses less digits than its factorization.

20927628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581333 (or 581328 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20927628 is about 4574.6724472906. The cubic root of 20927628 is about 275.5751181577.

The spelling of 20927628 in words is "twenty million, nine hundred twenty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 581323 1162646 1743969 2325292 3487938 5231907 6975876 10463814 20927628