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683680200 = 233527315989
BaseRepresentation
bin101000110000000…
…010000111001000
31202122110112220220
4220300002013020
52400010231300
6151501350040
722641120510
oct5060020710
91678415826
10683680200
11320a13065
12170b68320
13ab8470c8
1466b2a840
154004bda0
hex28c021c8

683680200 has 384 divisors, whose sum is σ = 2571264000. Its totient is φ = 146995200.

The previous prime is 683680183. The next prime is 683680247. The reversal of 683680200 is 2086386.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7681756 + ... + 7681844.

It is an arithmetic number, because the mean of its divisors is an integer number (6696000).

Almost surely, 2683680200 is an apocalyptic number.

683680200 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 683680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632000).

683680200 is an abundant number, since it is smaller than the sum of its proper divisors (1887583800).

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

683680200 is a wasteful number, since it uses less digits than its factorization.

683680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 683680200 is about 26147.2790171368. The cubic root of 683680200 is about 880.9494745089.

The spelling of 683680200 in words is "six hundred eighty-three million, six hundred eighty thousand, two hundred".