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20461653 = 341571609
BaseRepresentation
bin100111000001…
…1100001010101
31102111120010000
41032003201111
520214233103
62010321513
7335630652
oct116034125
942446100
1020461653
1110606163
126a29299
1343155b4
142a08c29
151be2aa3
hex1383855

20461653 has 20 divisors (see below), whose sum is σ = 30779980. Its totient is φ = 13545792.

The previous prime is 20461633. The next prime is 20461673. The reversal of 20461653 is 35616402.

20461653 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 1 + 653 = 666.

It is an interprime number because it is at equal distance from previous prime (20461633) and next prime (20461673).

It can be written as a sum of positive squares in 2 ways, for example, as 14424804 + 6036849 = 3798^2 + 2457^2 .

It is not a de Polignac number, because 20461653 - 217 = 20330581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20461603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11913 + ... + 13521.

It is an arithmetic number, because the mean of its divisors is an integer number (1538999).

Almost surely, 220461653 is an apocalyptic number.

It is an amenable number.

20461653 is a deficient number, since it is larger than the sum of its proper divisors (10318327).

20461653 is a wasteful number, since it uses less digits than its factorization.

20461653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20461653 is about 4523.4558691337. The cubic root of 20461653 is about 273.5144267239.

The spelling of 20461653 in words is "twenty million, four hundred sixty-one thousand, six hundred fifty-three".

Divisors: 1 3 9 27 81 157 471 1413 1609 4239 4827 12717 14481 43443 130329 252613 757839 2273517 6820551 20461653