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286996080 = 243571391229
BaseRepresentation
bin10001000110110…
…011011001110000
3202000000220121110
4101012303121300
51041432333310
644251153320
710053266160
oct2106633160
9660026543
10286996080
11138002448
1280145840
13475c6b87
142a18a5a0
151a2e0d20
hex111b3670

286996080 has 160 divisors (see below), whose sum is σ = 1024934400. Its totient is φ = 65074176.

The previous prime is 286996067. The next prime is 286996103. The reversal of 286996080 is 80699682.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232906 + ... + 234134.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2286996080 is an apocalyptic number.

286996080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512467200).

286996080 is an abundant number, since it is smaller than the sum of its proper divisors (737938320).

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

286996080 is a wasteful number, since it uses less digits than its factorization.

286996080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 286996080 is about 16940.9586505605. The cubic root of 286996080 is about 659.6172252475.

The spelling of 286996080 in words is "two hundred eighty-six million, nine hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 139 140 168 210 240 278 280 336 417 420 556 560 695 834 840 973 1112 1229 1390 1668 1680 1946 2085 2224 2458 2780 2919 3336 3687 3892 4170 4865 4916 5560 5838 6145 6672 7374 7784 8340 8603 9730 9832 11120 11676 12290 14595 14748 15568 16680 17206 18435 19460 19664 23352 24580 25809 29190 29496 33360 34412 36870 38920 43015 46704 49160 51618 58380 58992 68824 73740 77840 86030 98320 103236 116760 129045 137648 147480 170831 172060 206472 233520 258090 294960 341662 344120 412944 512493 516180 683324 688240 854155 1024986 1032360 1195817 1366648 1708310 2049972 2064720 2391634 2562465 2733296 3416620 3587451 4099944 4783268 5124930 5979085 6833240 7174902 8199888 9566536 10249860 11958170 13666480 14349804 17937255 19133072 20499720 23916340 28699608 35874510 40999440 47832680 57399216 71749020 95665360 143498040 286996080