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206353540 = 22556918133
BaseRepresentation
bin11000100110010…
…11010010000100
3112101021211211201
430103023102010
5410311303130
632250512244
75053655551
oct1423132204
9471254751
10206353540
11a6532518
1259135684
13339a01b3
141d597a28
15131b1bca
hexc4cb484

206353540 has 24 divisors (see below), whose sum is σ = 434127960. Its totient is φ = 82391808.

The previous prime is 206353523. The next prime is 206353541. The reversal of 206353540 is 45353602.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 204547204 = 1344^2 + 14302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206353499 and 206353508.

It is not an unprimeable number, because it can be changed into a prime (206353541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2314 + ... + 20446.

It is an arithmetic number, because the mean of its divisors is an integer number (18088665).

Almost surely, 2206353540 is an apocalyptic number.

206353540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206353540 is an abundant number, since it is smaller than the sum of its proper divisors (227774420).

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

206353540 is a wasteful number, since it uses less digits than its factorization.

206353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18711 (or 18709 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 206353540 is about 14365.0109641448. The cubic root of 206353540 is about 590.9317271156.

The spelling of 206353540 in words is "two hundred six million, three hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 569 1138 2276 2845 5690 11380 18133 36266 72532 90665 181330 362660 10317677 20635354 41270708 51588385 103176770 206353540