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286768080 = 24335132763
BaseRepresentation
bin10001000101111…
…011101111010000
3201222121022212000
4101011323233100
51041403034310
644242234000
710051326354
oct2105735720
9658538760
10286768080
11137967115
1280055900
1347547171
142a12b464
151a2984c0
hex1117bbd0

286768080 has 80 divisors (see below), whose sum is σ = 987764160. Its totient is φ = 76470912.

The previous prime is 286768049. The next prime is 286768091. The reversal of 286768080 is 80867682.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64222 + ... + 68541.

It is an arithmetic number, because the mean of its divisors is an integer number (12347052).

Almost surely, 2286768080 is an apocalyptic number.

286768080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286768080 is an abundant number, since it is smaller than the sum of its proper divisors (700996080).

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

286768080 is a wasteful number, since it uses less digits than its factorization.

286768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132785 (or 132773 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 286768080 is about 16934.2280603516. The cubic root of 286768080 is about 659.4425044281.

The spelling of 286768080 in words is "two hundred eighty-six million, seven hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 132763 265526 398289 531052 663815 796578 1062104 1194867 1327630 1593156 1991445 2124208 2389734 2655260 3186312 3584601 3982890 4779468 5310520 5974335 6372624 7169202 7965780 9558936 10621040 11948670 14338404 15931560 17923005 19117872 23897340 28676808 31863120 35846010 47794680 57353616 71692020 95589360 143384040 286768080