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686690784 = 2535136793
BaseRepresentation
bin101000111011100…
…001000111100000
31202212010111200000
4220323201013200
52401243101114
6152050100000
723005526643
oct5073410740
91685114600
10686690784
11322689a4a
12171b7a600
13ac35c510
14672b1a5a
1540443e09
hex28ee11e0

686690784 has 144 divisors (see below), whose sum is σ = 2181200112. Its totient is φ = 211258368.

The previous prime is 686690777. The next prime is 686690857. The reversal of 686690784 is 487096686.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 686690784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97692 + ... + 104484.

It is an arithmetic number, because the mean of its divisors is an integer number (15147223).

Almost surely, 2686690784 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 686690784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090600056).

686690784 is an abundant number, since it is smaller than the sum of its proper divisors (1494509328).

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

686690784 is a wasteful number, since it uses less digits than its factorization.

686690784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 686690784 is about 26204.7855171532. The cubic root of 686690784 is about 882.2406673521.

The spelling of 686690784 in words is "six hundred eighty-six million, six hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 6793 7776 8424 11232 12636 13586 16848 20379 25272 27172 33696 40758 50544 54344 61137 81516 88309 101088 108688 122274 163032 176618 183411 217376 244548 264927 326064 353236 366822 489096 529854 550233 652128 706472 733644 794781 978192 1059708 1100466 1412944 1467288 1589562 1650699 1956384 2119416 2200932 2384343 2825888 2934576 3179124 3301398 4238832 4401864 4768686 5869152 6358248 6602796 7153029 8477664 8803728 9537372 12716496 13205592 14306058 17607456 19074744 21459087 25432992 26411184 28612116 38149488 42918174 52822368 57224232 76298976 85836348 114448464 171672696 228896928 343345392 686690784