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206538720 = 2535430289
BaseRepresentation
bin11000100111110…
…00011111100000
3112101122020212020
430103320133200
5410333214340
632254501440
75055356463
oct1423703740
9471566766
10206538720
11a6649663
1259204880
1333a3657b
141d6052da
15131eb9d0
hexc4f87e0

206538720 has 48 divisors (see below), whose sum is σ = 650598480. Its totient is φ = 55076864.

The previous prime is 206538719. The next prime is 206538733. The reversal of 206538720 is 27835602.

206538720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 214665 + ... + 215624.

It is an arithmetic number, because the mean of its divisors is an integer number (13554135).

Almost surely, 2206538720 is an apocalyptic number.

206538720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206538720 is an abundant number, since it is smaller than the sum of its proper divisors (444059760).

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

206538720 is a wasteful number, since it uses less digits than its factorization.

206538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430307 (or 430299 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 206538720 is about 14371.4550411571. The cubic root of 206538720 is about 591.1084400522.

The spelling of 206538720 in words is "two hundred six million, five hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 430289 860578 1290867 1721156 2151445 2581734 3442312 4302890 5163468 6454335 6884624 8605780 10326936 12908670 13769248 17211560 20653872 25817340 34423120 41307744 51634680 68846240 103269360 206538720