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199805076 = 2233712367
BaseRepresentation
bin10111110100011…
…00100010010100
3111220222011001000
423322030202110
5402122230301
631454303300
74644213042
oct1372144224
9456864030
10199805076
11a286a569
1256ab7b30
1332519673
141c771392
151281b786
hexbe8c894

199805076 has 72 divisors (see below), whose sum is σ = 526843520. Its totient is φ = 65484720.

The previous prime is 199805057. The next prime is 199805077. The reversal of 199805076 is 670508991.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199805077) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 544245 + ... + 544611.

Almost surely, 2199805076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199805076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263421760).

199805076 is an abundant number, since it is smaller than the sum of its proper divisors (327038444).

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

199805076 is a wasteful number, since it uses less digits than its factorization.

199805076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 199805076 is about 14135.2423396276. The cubic root of 199805076 is about 584.6134988095.

The spelling of 199805076 in words is "one hundred ninety-nine million, eight hundred five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 367 426 639 734 852 1101 1278 1468 1917 2202 2556 3303 3834 4404 5041 6606 7668 9909 10082 13212 15123 19818 20164 26057 30246 39636 45369 52114 60492 78171 90738 104228 136107 156342 181476 234513 272214 312684 469026 544428 703539 938052 1407078 1850047 2814156 3700094 5550141 7400188 11100282 16650423 22200564 33300846 49951269 66601692 99902538 199805076