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20468728 = 237365513
BaseRepresentation
bin100111000010…
…1001111111000
31102111220211001
41032011033320
520214444403
62010414344
7335660410
oct116051770
942456731
1020468728
1110610505
126a313b4
134318897
142a0b640
151be4c1d
hex13853f8

20468728 has 16 divisors (see below), whose sum is σ = 43861680. Its totient is φ = 8772288.

The previous prime is 20468671. The next prime is 20468729. The reversal of 20468728 is 82786402.

20468728 = 17072 + 17082 + ... + 17132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20468729) 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 3 ways as a sum of consecutive naturals, for example, 182701 + ... + 182812.

It is an arithmetic number, because the mean of its divisors is an integer number (2741355).

Almost surely, 220468728 is an apocalyptic number.

20468728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20468728 is an abundant number, since it is smaller than the sum of its proper divisors (23392952).

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

20468728 is a wasteful number, since it uses less digits than its factorization.

20468728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365526 (or 365522 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 20468728 is about 4524.2378363654. The cubic root of 20468728 is about 273.5459473376.

It can be divided in two parts, 204687 and 28, that multiplied together give a square (5731236 = 23942).

The spelling of 20468728 in words is "twenty million, four hundred sixty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 365513 731026 1462052 2558591 2924104 5117182 10234364 20468728