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28086120 = 2332578017
BaseRepresentation
bin110101100100…
…0111101101000
31221211220220200
41223020331220
524142223440
62441552200
7460504506
oct153107550
957756820
1028086120
1114943577
1294a5660
135a84b0a
143a31676
1526ebc30
hex1ac8f68

28086120 has 48 divisors (see below), whose sum is σ = 91281060. Its totient is φ = 7489536.

The previous prime is 28086103. The next prime is 28086127. The reversal of 28086120 is 2168082.

It can be written as a sum of positive squares in 2 ways, for example, as 22638564 + 5447556 = 4758^2 + 2334^2 .

It is not an unprimeable number, because it can be changed into a prime (28086127) 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, 38649 + ... + 39368.

Almost surely, 228086120 is an apocalyptic number.

28086120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28086120 is an abundant number, since it is smaller than the sum of its proper divisors (63194940).

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

28086120 is a wasteful number, since it uses less digits than its factorization.

28086120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78034 (or 78027 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28086120 is about 5299.6339496233. The cubic root of 28086120 is about 303.9699012213.

The spelling of 28086120 in words is "twenty-eight million, eighty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 78017 156034 234051 312068 390085 468102 624136 702153 780170 936204 1170255 1404306 1560340 1872408 2340510 2808612 3120680 3510765 4681020 5617224 7021530 9362040 14043060 28086120