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206412980 = 22517607097
BaseRepresentation
bin11000100110110…
…01110010110100
3112101101212101012
430103121302310
5410320203410
632252051352
75054324054
oct1423316264
9471355335
10206412980
11a6573144
1259163b58
13339c1277
141d5b1564
15131c4605
hexc4d9cb4

206412980 has 24 divisors (see below), whose sum is σ = 458966088. Its totient is φ = 77708288.

The previous prime is 206412977. The next prime is 206412989. The reversal of 206412980 is 89214602.

206412980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114789796 + 91623184 = 10714^2 + 9572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206412989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303209 + ... + 303888.

It is an arithmetic number, because the mean of its divisors is an integer number (19123587).

Almost surely, 2206412980 is an apocalyptic number.

206412980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206412980 is an abundant number, since it is smaller than the sum of its proper divisors (252553108).

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

206412980 is a wasteful number, since it uses less digits than its factorization.

206412980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607123 (or 607121 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 206412980 is about 14367.0797311075. The cubic root of 206412980 is about 590.9884608323.

The spelling of 206412980 in words is "two hundred six million, four hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 607097 1214194 2428388 3035485 6070970 10320649 12141940 20641298 41282596 51603245 103206490 206412980