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285445680 = 243513191479
BaseRepresentation
bin10001000000111…
…000111000110000
3201220010010212020
4101000320320300
51041033230210
644154031440
710034151102
oct2100707060
9656103766
10285445680
11137143623
127b718580
13471a3290
1429ca5572
151a0d6770
hex11038e30

285445680 has 160 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 69749760.

The previous prime is 285445669. The next prime is 285445681. The reversal of 285445680 is 86544582.

It is not an unprimeable number, because it can be changed into a prime (285445681) 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, 595681 + ... + 596159.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2285445680 is an apocalyptic number.

285445680 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 285445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

285445680 is an abundant number, since it is smaller than the sum of its proper divisors (674492880).

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

285445680 is a wasteful number, since it uses less digits than its factorization.

285445680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 285445680 is about 16895.1377620900. The cubic root of 285445680 is about 658.4272930393.

The spelling of 285445680 in words is "two hundred eighty-five million, four hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 191 195 208 240 260 312 382 390 479 520 573 624 764 780 955 958 1040 1146 1437 1528 1560 1910 1916 2292 2395 2483 2865 2874 3056 3120 3820 3832 4584 4790 4966 5730 5748 6227 7185 7449 7640 7664 9168 9580 9932 11460 11496 12415 12454 14370 14898 15280 18681 19160 19864 22920 22992 24830 24908 28740 29796 31135 37245 37362 38320 39728 45840 49660 49816 57480 59592 62270 74490 74724 91489 93405 99320 99632 114960 119184 124540 148980 149448 182978 186810 198640 249080 274467 297960 298896 365956 373620 457445 498160 548934 595920 731912 747240 914890 1097868 1189357 1372335 1463824 1494480 1829780 2195736 2378714 2744670 3568071 3659560 4391472 4757428 5489340 5946785 7136142 7319120 9514856 10978680 11893570 14272284 17840355 19029712 21957360 23787140 28544568 35680710 47574280 57089136 71361420 95148560 142722840 285445680