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268129060 = 22530494397
BaseRepresentation
bin11111111101101…
…01001100100100
3200200112100220221
433332311030210
51022120112220
642334534124
76434026243
oct1776651444
9620470827
10268129060
11128396371
1275967344
134371c364
142787895a
15188159aa
hexffb5324

268129060 has 24 divisors (see below), whose sum is σ = 563383800. Its totient is φ = 107192064.

The previous prime is 268128989. The next prime is 268129111. The reversal of 268129060 is 60921862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 266146596 = 1408^2 + 16314^2 .

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 7 ways as a sum of consecutive naturals, for example, 58782 + ... + 63178.

It is an arithmetic number, because the mean of its divisors is an integer number (23474325).

Almost surely, 2268129060 is an apocalyptic number.

268129060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268129060 is an abundant number, since it is smaller than the sum of its proper divisors (295254740).

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

268129060 is a wasteful number, since it uses less digits than its factorization.

268129060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7455 (or 7453 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 268129060 is about 16374.6468664213. The cubic root of 268129060 is about 644.8340498093.

The spelling of 268129060 in words is "two hundred sixty-eight million, one hundred twenty-nine thousand, sixty".

Divisors: 1 2 4 5 10 20 3049 4397 6098 8794 12196 15245 17588 21985 30490 43970 60980 87940 13406453 26812906 53625812 67032265 134064530 268129060