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268208080 = 2457478943
BaseRepresentation
bin11111111110010…
…00011111010000
3200200200101022121
433333020133100
51022130124310
642340344024
76434505520
oct1777103720
9620611277
10268208080
1112843a778
12759a5014
134374930a
1427899680
151882e0da
hexffc87d0

268208080 has 40 divisors (see below), whose sum is σ = 712668672. Its totient is φ = 91956864.

The previous prime is 268208069. The next prime is 268208089. The reversal of 268208080 is 80802862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268208089) 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 7 ways as a sum of consecutive naturals, for example, 238912 + ... + 240031.

Almost surely, 2268208080 is an apocalyptic number.

268208080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268208080 is an abundant number, since it is smaller than the sum of its proper divisors (444460592).

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

268208080 is a wasteful number, since it uses less digits than its factorization.

268208080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478963 (or 478957 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 268208080 is about 16377.0595651356. The cubic root of 268208080 is about 644.8973896823.

The spelling of 268208080 in words is "two hundred sixty-eight million, two hundred eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 478943 957886 1915772 2394715 3352601 3831544 4789430 6705202 7663088 9578860 13410404 16763005 19157720 26820808 33526010 38315440 53641616 67052020 134104040 268208080