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206675312 = 2419838191
BaseRepresentation
bin11000101000110…
…01110101110000
3112101220012020012
430110121311300
5410402102222
632301434052
75056465634
oct1424316560
9471805205
10206675312
11a6732248
125926b928
1333a837ac
141d63cdc4
15132271e2
hexc519d70

206675312 has 40 divisors (see below), whose sum is σ = 426639360. Its totient is φ = 96707520.

The previous prime is 206675279. The next prime is 206675317. The reversal of 206675312 is 213576602.

206675312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206675317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21137 + ... + 29327.

It is an arithmetic number, because the mean of its divisors is an integer number (10665984).

Almost surely, 2206675312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206675312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213319680).

206675312 is an abundant number, since it is smaller than the sum of its proper divisors (219964048).

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

206675312 is a wasteful number, since it uses less digits than its factorization.

206675312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 206675312 is about 14376.2064537207. The cubic root of 206675312 is about 591.2387189197.

The spelling of 206675312 in words is "two hundred six million, six hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 83 152 166 304 332 664 1328 1577 3154 6308 8191 12616 16382 25232 32764 65528 131056 155629 311258 622516 679853 1245032 1359706 2490064 2719412 5438824 10877648 12917207 25834414 51668828 103337656 206675312