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206968608 = 25347111761
BaseRepresentation
bin11000101011000…
…01011100100000
3112102110002120000
430111201130200
5410440443413
632312020000
75062130010
oct1425413440
9472402500
10206968608
11a6912640
1259391600
1333b57142
141d6b7c40
1513284073
hexc561720

206968608 has 480 divisors, whose sum is σ = 816697728. Its totient is φ = 49766400.

The previous prime is 206968607. The next prime is 206968627. The reversal of 206968608 is 806869602.

It is not an unprimeable number, because it can be changed into a prime (206968607) 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 79 ways as a sum of consecutive naturals, for example, 3392898 + ... + 3392958.

Almost surely, 2206968608 is an apocalyptic number.

206968608 is a gapful number since it is divisible by the number (28) 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 206968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348864).

206968608 is an abundant number, since it is smaller than the sum of its proper divisors (609729120).

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

206968608 is a wasteful number, since it uses less digits than its factorization.

206968608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 206968608 is about 14386.4035811595. The cubic root of 206968608 is about 591.5182652697.

The spelling of 206968608 in words is "two hundred six million, nine hundred sixty-eight thousand, six hundred eight".