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769540068 = 2233115910979
BaseRepresentation
bin101101110111100…
…011111111100100
31222122000200112000
4231313203333210
53034000240233
6204205525300
725032661023
oct5567437744
91878020460
10769540068
11365426930
12195873830
13c357976b
14742ba8ba
154785bd13
hex2dde3fe4

769540068 has 96 divisors (see below), whose sum is σ = 2213568000. Its totient is φ = 229220640.

The previous prime is 769540043. The next prime is 769540099. The reversal of 769540068 is 860045967.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64603 + ... + 75581.

It is an arithmetic number, because the mean of its divisors is an integer number (23058000).

Almost surely, 2769540068 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 769540068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106784000).

769540068 is an abundant number, since it is smaller than the sum of its proper divisors (1444027932).

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

769540068 is a wasteful number, since it uses less digits than its factorization.

769540068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11062 (or 11054 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 769540068 is about 27740.5852137261. The cubic root of 769540068 is about 916.3831165012.

The spelling of 769540068 in words is "seven hundred sixty-nine million, five hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 99 108 118 132 177 198 236 297 354 396 531 594 649 708 1062 1188 1298 1593 1947 2124 2596 3186 3894 5841 6372 7788 10979 11682 17523 21958 23364 32937 35046 43916 65874 70092 98811 120769 131748 197622 241538 296433 362307 395244 483076 592866 647761 724614 1086921 1185732 1295522 1449228 1943283 2173842 2591044 3260763 3886566 4347684 5829849 6521526 7125371 7773132 11659698 13043052 14250742 17489547 21376113 23319396 28501484 34979094 42752226 64128339 69958188 85504452 128256678 192385017 256513356 384770034 769540068