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199000980 = 223251765033
BaseRepresentation
bin10111101110010…
…00001110010100
3111212110022000200
423313020032110
5401421012410
631425140500
74634323533
oct1367101624
9455408020
10199000980
11a2370422
125678a730
13322c7679
141c60231a
151270d3c0
hexbdc8394

199000980 has 72 divisors (see below), whose sum is σ = 639154152. Its totient is φ = 49944576.

The previous prime is 199000957. The next prime is 199000981. The reversal of 199000980 is 89000991.

199000980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 89756676 + 109244304 = 9474^2 + 10452^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199000981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29457 + ... + 35576.

It is an arithmetic number, because the mean of its divisors is an integer number (8877141).

Almost surely, 2199000980 is an apocalyptic number.

199000980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199000980 is an abundant number, since it is smaller than the sum of its proper divisors (440153172).

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

199000980 is a wasteful number, since it uses less digits than its factorization.

199000980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65065 (or 65060 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 199000980 is about 14106.7707148022. The cubic root of 199000980 is about 583.8282044562.

The spelling of 199000980 in words is "one hundred ninety-nine million, nine hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 65033 130066 195099 260132 325165 390198 585297 650330 780396 975495 1105561 1170594 1300660 1950990 2211122 2341188 2926485 3316683 3901980 4422244 5527805 5852970 6633366 9950049 11055610 11705940 13266732 16583415 19900098 22111220 33166830 39800196 49750245 66333660 99500490 199000980