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268694880 = 2535559781
BaseRepresentation
bin10000000000111…
…111010101100000
3200201121010002020
4100000333111200
51022241214010
642355021440
76441603666
oct2000772540
9621533066
10268694880
11128742493
1275b9a880
1343889a6c
1427984c36
15188c8470
hex1003f560

268694880 has 48 divisors (see below), whose sum is σ = 846390384. Its totient is φ = 71651840.

The previous prime is 268694819. The next prime is 268694893. The reversal of 268694880 is 88496862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279411 + ... + 280370.

It is an arithmetic number, because the mean of its divisors is an integer number (17633133).

Almost surely, 2268694880 is an apocalyptic number.

268694880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268694880 is an abundant number, since it is smaller than the sum of its proper divisors (577695504).

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

268694880 is a wasteful number, since it uses less digits than its factorization.

268694880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559799 (or 559791 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 268694880 is about 16391.9150803071. The cubic root of 268694880 is about 645.2873186612.

The spelling of 268694880 in words is "two hundred sixty-eight million, six hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 559781 1119562 1679343 2239124 2798905 3358686 4478248 5597810 6717372 8396715 8956496 11195620 13434744 16793430 17912992 22391240 26869488 33586860 44782480 53738976 67173720 89564960 134347440 268694880