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684813096 = 2333112331237
BaseRepresentation
bin101000110100010…
…110101100101000
31202201121002222000
4220310112230220
52400303004341
6151541531000
722653546432
oct5064265450
91681532860
10684813096
11321617240
12171413a60
13abb52966
1466d43652
15401c28b6
hex28d16b28

684813096 has 128 divisors (see below), whose sum is σ = 2085782400. Its totient is φ = 206461440.

The previous prime is 684813079. The next prime is 684813121. The reversal of 684813096 is 690318486.

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 31 ways as a sum of consecutive naturals, for example, 552990 + ... + 554226.

It is an arithmetic number, because the mean of its divisors is an integer number (16295175).

Almost surely, 2684813096 is an apocalyptic number.

684813096 is a gapful number since it is divisible by the number (66) 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 684813096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042891200).

684813096 is an abundant number, since it is smaller than the sum of its proper divisors (1400969304).

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

684813096 is a wasteful number, since it uses less digits than its factorization.

684813096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 684813096 is about 26168.9337956287. The cubic root of 684813096 is about 881.4358000270.

The spelling of 684813096 in words is "six hundred eighty-four million, eight hundred thirteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 233 264 297 396 466 594 699 792 932 1188 1237 1398 1864 2097 2376 2474 2563 2796 3711 4194 4948 5126 5592 6291 7422 7689 8388 9896 10252 11133 12582 13607 14844 15378 16776 20504 22266 23067 25164 27214 29688 30756 33399 40821 44532 46134 50328 54428 61512 66798 69201 81642 89064 92268 108856 122463 133596 138402 163284 184536 244926 267192 276804 288221 326568 367389 489852 553608 576442 734778 864663 979704 1152884 1469556 1729326 2305768 2593989 2939112 3170431 3458652 5187978 6340862 6917304 7781967 9511293 10375956 12681724 15563934 19022586 20751912 25363448 28533879 31127868 38045172 57067758 62255736 76090344 85601637 114135516 171203274 228271032 342406548 684813096