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268018830 = 232516931759
BaseRepresentation
bin11111111100110…
…10010010001110
3200200022202201100
433332122102032
51022103100310
642332323530
76433060002
oct1776322216
9620282640
10268018830
11128320572
12759135a6
13436b1131
142784a702
15187e2ec0
hexff9a48e

268018830 has 48 divisors (see below), whose sum is σ = 697656960. Its totient is φ = 71388864.

The previous prime is 268018813. The next prime is 268018837. The reversal of 268018830 is 38810862.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268018837) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 151491 + ... + 153249.

It is an arithmetic number, because the mean of its divisors is an integer number (14534520).

Almost surely, 2268018830 is an apocalyptic number.

268018830 is an abundant number, since it is smaller than the sum of its proper divisors (429638130).

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

268018830 is a wasteful number, since it uses less digits than its factorization.

268018830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 268018830 is about 16371.2806463025. The cubic root of 268018830 is about 644.7456722197.

The spelling of 268018830 in words is "two hundred sixty-eight million, eighteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1693 1759 3386 3518 5079 5277 8465 8795 10158 10554 15237 15831 16930 17590 25395 26385 30474 31662 50790 52770 76185 79155 152370 158310 2977987 5955974 8933961 14889935 17867922 26801883 29779870 44669805 53603766 89339610 134009415 268018830