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684235020 = 2235722111103
BaseRepresentation
bin101000110010001…
…001100100001100
31202200111201222210
4220302021210030
52400131010040
6151521310420
722645621200
oct5062114414
91680451883
10684235020
11321261997
12171195410
13ab9ac7c1
1466c32b00
154010b480
hex28c8990c

684235020 has 144 divisors (see below), whose sum is σ = 2241243648. Its totient is φ = 155514240.

The previous prime is 684235009. The next prime is 684235061. The reversal of 684235020 is 20532486.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619789 + ... + 620891.

It is an arithmetic number, because the mean of its divisors is an integer number (15564192).

Almost surely, 2684235020 is an apocalyptic number.

684235020 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 684235020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120621824).

684235020 is an abundant number, since it is smaller than the sum of its proper divisors (1557008628).

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

684235020 is a wasteful number, since it uses less digits than its factorization.

684235020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 684235020 is about 26157.8863825042. The cubic root of 684235020 is about 881.1877127144.

The spelling of 684235020 in words is "six hundred eighty-four million, two hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 211 245 294 420 422 490 588 633 735 844 980 1055 1103 1266 1470 1477 2110 2206 2532 2940 2954 3165 3309 4220 4412 4431 5515 5908 6330 6618 7385 7721 8862 10339 11030 12660 13236 14770 15442 16545 17724 20678 22060 22155 23163 29540 30884 31017 33090 38605 41356 44310 46326 51695 54047 62034 66180 77210 88620 92652 103390 108094 115815 124068 154420 155085 162141 206780 216188 231630 232733 270235 310170 324282 463260 465466 540470 620340 648564 698199 810705 930932 1080940 1163665 1396398 1621410 1629131 2327330 2792796 3242820 3258262 3490995 4654660 4887393 6516524 6981990 8145655 9774786 11403917 13963980 16291310 19549572 22807834 24436965 32582620 34211751 45615668 48873930 57019585 68423502 97747860 114039170 136847004 171058755 228078340 342117510 684235020