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686290080 = 25357229179
BaseRepresentation
bin101000111001111…
…111010010100000
31202211101011000010
4220321333102200
52401142240310
6152033324520
723002240500
oct5071772240
91684334003
10686290080
11322435993
12171a06740
13ac24c008
1467209a00
15403b5320
hex28e7f4a0

686290080 has 144 divisors (see below), whose sum is σ = 2514849120. Its totient is φ = 156860928.

The previous prime is 686290069. The next prime is 686290141. The reversal of 686290080 is 80092686.

686290080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8931 + ... + 38109.

It is an arithmetic number, because the mean of its divisors is an integer number (17464230).

Almost surely, 2686290080 is an apocalyptic number.

686290080 is a gapful number since it is divisible by the number (60) 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 686290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257424560).

686290080 is an abundant number, since it is smaller than the sum of its proper divisors (1828559040).

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

686290080 is a wasteful number, since it uses less digits than its factorization.

686290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29211 (or 29196 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 686290080 is about 26197.1387750647. The cubic root of 686290080 is about 882.0690296187.

The spelling of 686290080 in words is "six hundred eighty-six million, two hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 29179 58358 87537 116716 145895 175074 204253 233432 291790 350148 408506 437685 466864 583580 612759 700296 817012 875370 933728 1021265 1167160 1225518 1400592 1429771 1634024 1750740 2042530 2334320 2451036 2801184 2859542 3063795 3268048 3501480 4085060 4289313 4668640 4902072 5719084 6127590 6536096 7002960 7148855 8170120 8578626 9804144 11438168 12255180 14005920 14297710 16340240 17157252 19608288 21446565 22876336 24510360 28595420 32680480 34314504 42893130 45752672 49020720 57190840 68629008 85786260 98041440 114381680 137258016 171572520 228763360 343145040 686290080