Search a number
-
+
206059520 = 211520123
BaseRepresentation
bin11000100100000…
…11100000000000
3112100201220112002
430102003200000
5410222401040
632240323132
75051322422
oct1422034000
9470656462
10206059520
11a6351627
12590134a8
13338c9414
141d51c812
1513154a15
hexc483800

206059520 has 48 divisors (see below), whose sum is σ = 494446680. Its totient is φ = 82419712.

The previous prime is 206059519. The next prime is 206059531. The reversal of 206059520 is 25950602.

206059520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2060595203 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 20301.

Almost surely, 2206059520 is an apocalyptic number.

206059520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247223340).

206059520 is an abundant number, since it is smaller than the sum of its proper divisors (288387160).

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

206059520 is an equidigital number, since it uses as much as digits as its factorization.

206059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20150 (or 20130 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 206059520 is about 14354.7734221060. The cubic root of 206059520 is about 590.6509334003.

The spelling of 206059520 in words is "two hundred six million, fifty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 20123 40246 80492 100615 160984 201230 321968 402460 643936 804920 1287872 1609840 2575744 3219680 5151488 6439360 10302976 12878720 20605952 25757440 41211904 51514880 103029760 206059520