Search a number
-
+
199876716 = 2232132331599
BaseRepresentation
bin10111110100111…
…10000001101100
3111221002210022100
423322132001230
5402132023331
631500015100
74644631644
oct1372360154
9457083270
10199876716
11a2909376
1256b31490
1332543160
141c78d524
1512832ae6
hexbe9e06c

199876716 has 144 divisors (see below), whose sum is σ = 587059200. Its totient is φ = 56833920.

The previous prime is 199876709. The next prime is 199876717. The reversal of 199876716 is 617678991.

199876716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199876717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333385 + ... + 333983.

It is an arithmetic number, because the mean of its divisors is an integer number (4076800).

Almost surely, 2199876716 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 199876716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293529600).

199876716 is an abundant number, since it is smaller than the sum of its proper divisors (387182484).

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

199876716 is a wasteful number, since it uses less digits than its factorization.

199876716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 199876716 is about 14137.7762041985. The cubic root of 199876716 is about 584.6833614098.

The spelling of 199876716 in words is "one hundred ninety-nine million, eight hundred seventy-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 31 36 39 46 52 62 69 78 92 93 117 124 138 156 186 207 234 276 279 299 372 403 414 468 558 598 599 713 806 828 897 1116 1196 1198 1209 1426 1612 1794 1797 2139 2396 2418 2691 2852 3588 3594 3627 4278 4836 5382 5391 6417 7188 7254 7787 8556 9269 10764 10782 12834 13777 14508 15574 18538 18569 21564 23361 25668 27554 27807 31148 37076 37138 41331 46722 55108 55614 55707 70083 74276 82662 83421 93444 111228 111414 123993 140166 165324 166842 167121 179101 222828 241397 247986 280332 333684 334242 358202 427087 482794 495972 537303 668484 716404 724191 854174 965588 1074606 1281261 1448382 1611909 1708348 2149212 2172573 2562522 2896764 3223818 3843783 4345146 5125044 5552131 6447636 7687566 8690292 11104262 15375132 16656393 22208524 33312786 49969179 66625572 99938358 199876716