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20274057 = 342291093
BaseRepresentation
bin100110101010…
…1101110001001
31102011000210000
41031111232021
520142232212
62002313213
7334220016
oct115255611
942130700
1020274057
1110498221
126958809
13427b0ab
14299a70d
151ba71dc
hex1355b89

20274057 has 20 divisors (see below), whose sum is σ = 30446020. Its totient is φ = 13444704.

The previous prime is 20274041. The next prime is 20274073. The reversal of 20274057 is 75047202.

It is an interprime number because it is at equal distance from previous prime (20274041) and next prime (20274073).

It can be written as a sum of positive squares in 2 ways, for example, as 19527561 + 746496 = 4419^2 + 864^2 .

It is not a de Polignac number, because 20274057 - 24 = 20274041 is a prime.

It is a super-2 number, since 2×202740572 = 822074774478498, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20274057.

It is not an unprimeable number, because it can be changed into a prime (20274157) 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 19 ways as a sum of consecutive naturals, for example, 18003 + ... + 19095.

It is an arithmetic number, because the mean of its divisors is an integer number (1522301).

Almost surely, 220274057 is an apocalyptic number.

20274057 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20274057 is a deficient number, since it is larger than the sum of its proper divisors (10171963).

20274057 is a wasteful number, since it uses less digits than its factorization.

20274057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 20274057 is about 4502.6722065902. The cubic root of 20274057 is about 272.6759831732.

It can be divided in two parts, 2027 and 4057, that added together give a square (6084 = 782).

The spelling of 20274057 in words is "twenty million, two hundred seventy-four thousand, fifty-seven".

Divisors: 1 3 9 27 81 229 687 1093 2061 3279 6183 9837 18549 29511 88533 250297 750891 2252673 6758019 20274057