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768275060 = 225723922961
BaseRepresentation
bin101101110010101…
…111001001110100
31222112122102020212
4231302233021310
53033134300220
6204122444552
725016141660
oct5562571164
91875572225
10768275060
11364742473
12195363758
13c3225a37
147406b8a0
15476ac0c5
hex2dcaf274

768275060 has 48 divisors (see below), whose sum is σ = 1851655680. Its totient is φ = 262295040.

The previous prime is 768275059. The next prime is 768275071. The reversal of 768275060 is 60572867.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 768274999 and 768275017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21980 + ... + 44940.

It is an arithmetic number, because the mean of its divisors is an integer number (38576160).

Almost surely, 2768275060 is an apocalyptic number.

768275060 is a gapful number since it is divisible by the number (70) 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 768275060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925827840).

768275060 is an abundant number, since it is smaller than the sum of its proper divisors (1083380620).

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

768275060 is a wasteful number, since it uses less digits than its factorization.

768275060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23216 (or 23214 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 768275060 is about 27717.7751632414. The cubic root of 768275060 is about 915.8807091528.

The spelling of 768275060 in words is "seven hundred sixty-eight million, two hundred seventy-five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 478 956 1195 1673 2390 3346 4780 6692 8365 16730 22961 33460 45922 91844 114805 160727 229610 321454 459220 642908 803635 1607270 3214540 5487679 10975358 21950716 27438395 38413753 54876790 76827506 109753580 153655012 192068765 384137530 768275060