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8230728 = 2331131177
BaseRepresentation
bin11111011001011101001000
3120111011102210
4133121131020
54101340403
6452225120
7126650202
oct37313510
916434383
108230728
114711960
12290b1a0
13192246c
141143772
15ac8b03
hex7d9748

8230728 has 32 divisors (see below), whose sum is σ = 22448160. Its totient is φ = 2494080.

The previous prime is 8230727. The next prime is 8230753. The reversal of 8230728 is 8270328.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8230695 and 8230704.

It is not an unprimeable number, because it can be changed into a prime (8230723) 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 7 ways as a sum of consecutive naturals, for example, 15325 + ... + 15852.

It is an arithmetic number, because the mean of its divisors is an integer number (701505).

Almost surely, 28230728 is an apocalyptic number.

8230728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8230728 is an abundant number, since it is smaller than the sum of its proper divisors (14217432).

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

8230728 is a wasteful number, since it uses less digits than its factorization.

8230728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31197 (or 31193 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8230728 is about 2868.9245371742. The cubic root of 8230728 is about 201.9045394125.

The spelling of 8230728 in words is "eight million, two hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 31177 62354 93531 124708 187062 249416 342947 374124 685894 748248 1028841 1371788 2057682 2743576 4115364 8230728