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206529920 = 2753131031
BaseRepresentation
bin11000100111101…
…10010110000000
3112101121210210022
430103312112000
5410332424140
632254353012
75055322022
oct1423662600
9471553708
10206529920
11a6642a93
12591bb768
1333a3256c
141d602012
15131e90b5
hexc4f6580

206529920 has 64 divisors (see below), whose sum is σ = 495793440. Its totient is φ = 82268160.

The previous prime is 206529907. The next prime is 206529971. The reversal of 206529920 is 29925602.

It is a tau number, because it is divible by the number of its divisors (64).

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, 199805 + ... + 200835.

Almost surely, 2206529920 is an apocalyptic number.

206529920 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 206529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247896720).

206529920 is an abundant number, since it is smaller than the sum of its proper divisors (289263520).

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

206529920 is a wasteful number, since it uses less digits than its factorization.

206529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 206529920 is about 14371.1488754379. The cubic root of 206529920 is about 591.1000448093.

The spelling of 206529920 in words is "two hundred six million, five hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 313 320 626 640 1031 1252 1565 2062 2504 3130 4124 5008 5155 6260 8248 10016 10310 12520 16496 20032 20620 25040 32992 40064 41240 50080 65984 82480 100160 131968 164960 200320 322703 329920 645406 659840 1290812 1613515 2581624 3227030 5163248 6454060 10326496 12908120 20652992 25816240 41305984 51632480 103264960 206529920