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20730461 = 414211201
BaseRepresentation
bin100111100010…
…1001001011101
31110000012211212
41033011021131
520301333321
62020154205
7341130443
oct117051135
943005755
1020730461
111077a114
126b38965
1343aaa5b
142a78b93
151c4755b
hex13c525d

20730461 has 8 divisors (see below), whose sum is σ = 21304248. Its totient is φ = 20160000.

The previous prime is 20730439. The next prime is 20730481. The reversal of 20730461 is 16403702.

It can be written as a sum of positive squares in 4 ways, for example, as 6996025 + 13734436 = 2645^2 + 3706^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20730461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20730421) 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 7 ways as a sum of consecutive naturals, for example, 16661 + ... + 17861.

It is an arithmetic number, because the mean of its divisors is an integer number (2663031).

Almost surely, 220730461 is an apocalyptic number.

It is an amenable number.

20730461 is a deficient number, since it is larger than the sum of its proper divisors (573787).

20730461 is a wasteful number, since it uses less digits than its factorization.

20730461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 20730461 is about 4553.0716005791. The cubic root of 20730461 is about 274.7069539503.

The spelling of 20730461 in words is "twenty million, seven hundred thirty thousand, four hundred sixty-one".

Divisors: 1 41 421 1201 17261 49241 505621 20730461