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285748680 = 23357418297
BaseRepresentation
bin10001000010000…
…010110111001000
3201220200112111110
4101002002313020
51041122424210
644204330320
710036552350
oct2102026710
9656615443
10285748680
11137330238
127b8439a0
134727b179
1429d43b60
151a146420
hex11082dc8

285748680 has 128 divisors (see below), whose sum is σ = 1003726080. Its totient is φ = 63713280.

The previous prime is 285748679. The next prime is 285748681. The reversal of 285748680 is 86847582.

It is an interprime number because it is at equal distance from previous prime (285748679) and next prime (285748681).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (285748681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30292 + ... + 38588.

It is an arithmetic number, because the mean of its divisors is an integer number (7841610).

Almost surely, 2285748680 is an apocalyptic number.

285748680 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 285748680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501863040).

285748680 is an abundant number, since it is smaller than the sum of its proper divisors (717977400).

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

285748680 is a wasteful number, since it uses less digits than its factorization.

285748680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8359 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 285748680 is about 16904.1024606455. The cubic root of 285748680 is about 658.6601837251.

The spelling of 285748680 in words is "two hundred eighty-five million, seven hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8297 8610 11480 16594 17220 24891 33188 34440 41485 49782 58079 66376 82970 99564 116158 124455 165940 174237 199128 232316 248910 290395 331880 340177 348474 464632 497820 580790 680354 696948 871185 995640 1020531 1161580 1360708 1393896 1700885 1742370 2041062 2323160 2381239 2721416 3401770 3484740 4082124 4762478 5102655 6803540 6969480 7143717 8164248 9524956 10205310 11906195 13607080 14287434 19049912 20410620 23812390 28574868 35718585 40821240 47624780 57149736 71437170 95249560 142874340 285748680