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20359261 = 132532273
BaseRepresentation
bin100110110101…
…0100001011101
31102022100122201
41031222201131
520202444021
62004211501
7335023306
oct115524135
942270581
1020359261
111054623a
126999b91
1342aab00
1429bd7ad
151bc2591
hex136a85d

20359261 has 12 divisors (see below), whose sum is σ = 22471668. Its totient is φ = 18430464.

The previous prime is 20359237. The next prime is 20359267. The reversal of 20359261 is 16295302.

It can be written as a sum of positive squares in 6 ways, for example, as 55225 + 20304036 = 235^2 + 4506^2 .

It is not a de Polignac number, because 20359261 - 27 = 20359133 is a prime.

It is a super-2 number, since 2×203592612 = 828999016932242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20359267) 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 11 ways as a sum of consecutive naturals, for example, 7821 + ... + 10093.

It is an arithmetic number, because the mean of its divisors is an integer number (1872639).

Almost surely, 220359261 is an apocalyptic number.

It is an amenable number.

20359261 is a deficient number, since it is larger than the sum of its proper divisors (2112407).

20359261 is a wasteful number, since it uses less digits than its factorization.

20359261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 20359261 is about 4512.1237793305. The cubic root of 20359261 is about 273.0574331168.

The spelling of 20359261 in words is "twenty million, three hundred fifty-nine thousand, two hundred sixty-one".

Divisors: 1 13 53 169 689 2273 8957 29549 120469 384137 1566097 20359261