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268820286 = 23717222147
BaseRepresentation
bin10000000001011…
…101111100111110
3200201211111002220
4100001131330332
51022304222121
642401430210
76442635420
oct2001357476
9621744086
10268820286
11128818729
127603b366
1343901b77
14279b8810
15189006c6
hex1005df3e

268820286 has 48 divisors (see below), whose sum is σ = 652745856. Its totient is φ = 72284544.

The previous prime is 268820257. The next prime is 268820291. The reversal of 268820286 is 682028862.

268820286 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065 + ... + 23211.

It is an arithmetic number, because the mean of its divisors is an integer number (13598872).

Almost surely, 2268820286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268820286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326372928).

268820286 is an abundant number, since it is smaller than the sum of its proper divisors (383925570).

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

268820286 is a wasteful number, since it uses less digits than its factorization.

268820286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22193 (or 22176 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 268820286 is about 16395.7398735159. The cubic root of 268820286 is about 645.3876931272.

The spelling of 268820286 in words is "two hundred sixty-eight million, eight hundred twenty thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 714 867 1734 2023 4046 6069 12138 22147 44294 66441 132882 155029 310058 376499 465087 752998 930174 1129497 2258994 2635493 5270986 6400483 7906479 12800966 15812958 19201449 38402898 44803381 89606762 134410143 268820286