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206379728 = 24171096961
BaseRepresentation
bin11000100110100…
…01101011010000
3112101100011202122
430103101223100
5410313122403
632251233412
75054125112
oct1423215320
9471304678
10206379728
11a6550165
1259148868
13339ac0a9
141d5a33b2
15131b9838
hexc4d1ad0

206379728 has 40 divisors (see below), whose sum is σ = 427327560. Its totient is φ = 96215040.

The previous prime is 206379659. The next prime is 206379739. The reversal of 206379728 is 827973602.

It can be written as a sum of positive squares in 4 ways, for example, as 104611984 + 101767744 = 10228^2 + 10088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26168 + ... + 33128.

It is an arithmetic number, because the mean of its divisors is an integer number (10683189).

Almost surely, 2206379728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206379728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213663780).

206379728 is an abundant number, since it is smaller than the sum of its proper divisors (220947832).

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

206379728 is a wasteful number, since it uses less digits than its factorization.

206379728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 206379728 is about 14365.9224555891. The cubic root of 206379728 is about 590.9567241272.

The spelling of 206379728 in words is "two hundred six million, three hundred seventy-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1744 1853 3706 6961 7412 13922 14824 27844 29648 55688 111376 118337 236674 473348 758749 946696 1517498 1893392 3034996 6069992 12139984 12898733 25797466 51594932 103189864 206379728