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686865312 = 253373372
BaseRepresentation
bin101000111100001…
…011101110100000
31202212110101002000
4220330023232200
52401314142222
6152053524000
723010154530
oct5074135640
91685411060
10686865312
11322799091
12172043600
13ac3c0aa3
14673194c0
154047a9ac
hex28f0bba0

686865312 has 144 divisors (see below), whose sum is σ = 2296365120. Its totient is φ = 195664896.

The previous prime is 686865259. The next prime is 686865313. The reversal of 686865312 is 213568686.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (686865313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2038008 + ... + 2038344.

It is an arithmetic number, because the mean of its divisors is an integer number (15946980).

Almost surely, 2686865312 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 686865312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148182560).

686865312 is an abundant number, since it is smaller than the sum of its proper divisors (1609499808).

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

686865312 is an equidigital number, since it uses as much as digits as its factorization.

686865312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 349 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 686865312 is about 26208.1153843614. The cubic root of 686865312 is about 882.3154038807.

The spelling of 686865312 in words is "six hundred eighty-six million, eight hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 337 378 432 504 672 674 756 864 1008 1011 1348 1512 2016 2022 2359 2696 3024 3033 4044 4718 5392 6048 6066 7077 8088 9099 9436 10784 12132 14154 16176 18198 18872 21231 24264 28308 32352 36396 37744 42462 48528 56616 63693 72792 75488 84924 97056 113232 113569 127386 145584 169848 226464 227138 254772 291168 339696 340707 454276 509544 679392 681414 794983 908552 1019088 1022121 1362828 1589966 1817104 2038176 2044242 2384949 2725656 3066363 3179932 3634208 4088484 4769898 5451312 6132726 6359864 7154847 8176968 9539796 10902624 12265452 12719728 14309694 16353936 19079592 21464541 24530904 25439456 28619388 32707872 38159184 42929082 49061808 57238776 76318368 85858164 98123616 114477552 171716328 228955104 343432656 686865312