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199680684 = 22372714783
BaseRepresentation
bin10111110011011…
…10001010101100
3111220201211101220
423321232022230
5402104240214
631451503340
74643154300
oct1371561254
9456654356
10199680684
11a2795065
1256a57b50
13324a4b68
141c73bd00
15127e49a9
hexbe6e2ac

199680684 has 72 divisors (see below), whose sum is σ = 549739008. Its totient is φ = 56236320.

The previous prime is 199680673. The next prime is 199680707. The reversal of 199680684 is 486086991.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39357 + ... + 44139.

It is an arithmetic number, because the mean of its divisors is an integer number (7635264).

Almost surely, 2199680684 is an apocalyptic number.

199680684 is a gapful number since it is divisible by the number (14) 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 199680684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274869504).

199680684 is an abundant number, since it is smaller than the sum of its proper divisors (350058324).

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

199680684 is a wasteful number, since it uses less digits than its factorization.

199680684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 199680684 is about 14130.8415885254. The cubic root of 199680684 is about 584.4921533124.

The spelling of 199680684 in words is "one hundred ninety-nine million, six hundred eighty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2982 3479 4783 5964 6958 9566 10437 13916 14349 19132 20874 28698 33481 41748 57396 66962 100443 133924 200886 234367 339593 401772 468734 679186 703101 937468 1018779 1358372 1406202 2037558 2377151 2812404 4075116 4754302 7131453 9508604 14262906 16640057 28525812 33280114 49920171 66560228 99840342 199680684