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684082098 = 23474314029
BaseRepresentation
bin101000110001100…
…100001110110010
31202200012222020000
4220301210032302
52400111111343
6151514130430
722644413310
oct5061441662
91680188200
10684082098
11321168007
12171120a16
13ab95800b
1466bd30b0
15400caed3
hex28c643b2

684082098 has 80 divisors (see below), whose sum is σ = 1792697280. Its totient is φ = 190893024.

The previous prime is 684082081. The next prime is 684082117. The reversal of 684082098 is 890280486.

It is a happy number.

It is a Curzon number.

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 39 ways as a sum of consecutive naturals, for example, 41748 + ... + 55776.

It is an arithmetic number, because the mean of its divisors is an integer number (22408716).

Almost surely, 2684082098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684082098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896348640).

684082098 is an abundant number, since it is smaller than the sum of its proper divisors (1108615182).

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

684082098 is a wasteful number, since it uses less digits than its factorization.

684082098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14093 (or 14084 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 684082098 is about 26154.9631618934. The cubic root of 684082098 is about 881.1220612821.

The spelling of 684082098 in words is "six hundred eighty-four million, eighty-two thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 258 301 378 387 567 602 774 903 1134 1161 1806 2322 2709 3483 5418 6966 8127 14029 16254 24381 28058 42087 48762 84174 98203 126261 196406 252522 294609 378783 589218 603247 757566 883827 1136349 1206494 1767654 1809741 2272698 2651481 3619482 4222729 5302962 5429223 7954443 8445458 10858446 12668187 15908886 16287669 25336374 32575338 38004561 48863007 76009122 97726014 114013683 228027366 342041049 684082098