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682087280 = 24577571609
BaseRepresentation
bin101000101001111…
…101001101110000
31202112110121211212
4220221331031300
52344103243110
6151403255252
722621434440
oct5051751560
91675417755
10682087280
113200252a6
1217051a528
13ab40a054
1466834120
153ed34e05
hex28a7d370

682087280 has 80 divisors (see below), whose sum is σ = 1815925440. Its totient is φ = 233404416.

The previous prime is 682087261. The next prime is 682087291. The reversal of 682087280 is 82780286.

682087280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 423116 + ... + 424724.

It is an arithmetic number, because the mean of its divisors is an integer number (22699068).

Almost surely, 2682087280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682087280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907962720).

682087280 is an abundant number, since it is smaller than the sum of its proper divisors (1133838160).

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

682087280 is a wasteful number, since it uses less digits than its factorization.

682087280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 682087280 is about 26116.8007229063. The cubic root of 682087280 is about 880.2647619320.

The spelling of 682087280 in words is "six hundred eighty-two million, eighty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 757 1514 1609 3028 3218 3785 5299 6056 6436 7570 8045 10598 11263 12112 12872 15140 16090 21196 22526 25744 26495 30280 32180 42392 45052 52990 56315 60560 64360 84784 90104 105980 112630 128720 180208 211960 225260 423920 450520 901040 1218013 2436026 4872052 6090065 8526091 9744104 12180130 17052182 19488208 24360260 34104364 42630455 48720520 68208728 85260910 97441040 136417456 170521820 341043640 682087280