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20277540 = 2234512517
BaseRepresentation
bin100110101011…
…0100100100100
31102011012120000
41031112210210
520142340130
62002341300
7334233123
oct115264444
942135500
1020277540
111049a8a8
12695a830
13427c85a
14299baba
151ba8260
hex1356924

20277540 has 60 divisors (see below), whose sum is σ = 63616476. Its totient is φ = 5406912.

The previous prime is 20277527. The next prime is 20277577. The reversal of 20277540 is 4577202.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 6260004 = 3744^2 + 2502^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×202775402 = 822357256903200, which contains 22 as substring.

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

It is an unprimeable number.

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, 4639 + ... + 7878.

Almost surely, 220277540 is an apocalyptic number.

20277540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20277540 is an abundant number, since it is smaller than the sum of its proper divisors (43338936).

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

20277540 is a wasteful number, since it uses less digits than its factorization.

20277540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12538 (or 12527 counting only the distinct ones).

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

The square root of 20277540 is about 4503.0589603069. The cubic root of 20277540 is about 272.6915971516.

The spelling of 20277540 in words is "twenty million, two hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 12517 25034 37551 50068 62585 75102 112653 125170 150204 187755 225306 250340 337959 375510 450612 563265 675918 751020 1013877 1126530 1351836 1689795 2027754 2253060 3379590 4055508 5069385 6759180 10138770 20277540