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768120366 = 231313771881
BaseRepresentation
bin101101110010001…
…001011000101110
31222112100120001110
4231302021120232
53033114322431
6204115252450
725014625656
oct5562113056
91875316043
10768120366
11364647222
121952aa126
13c31a04c0
147402b366
154767b346
hex2dc8962e

768120366 has 32 divisors (see below), whose sum is σ = 1666512288. Its totient is φ = 234616320.

The previous prime is 768120359. The next prime is 768120371. The reversal of 768120366 is 663021867.

768120366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25255 + ... + 46626.

It is an arithmetic number, because the mean of its divisors is an integer number (52078509).

Almost surely, 2768120366 is an apocalyptic number.

768120366 is an abundant number, since it is smaller than the sum of its proper divisors (898391922).

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

768120366 is a wasteful number, since it uses less digits than its factorization.

768120366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72036.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 768120366 is about 27714.9845029724. The cubic root of 768120366 is about 915.8192334444.

The spelling of 768120366 in words is "seven hundred sixty-eight million, one hundred twenty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 137 274 411 822 1781 3562 5343 10686 71881 143762 215643 431286 934453 1868906 2803359 5606718 9847697 19695394 29543091 59086182 128020061 256040122 384060183 768120366