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199000984 = 237131914387
BaseRepresentation
bin10111101110010…
…00001110011000
3111212110022000211
423313020032120
5401421012414
631425140504
74634323540
oct1367101630
9455408024
10199000984
11a2370426
125678a734
13322c7680
141c602320
151270d3c4
hexbdc8398

199000984 has 64 divisors (see below), whose sum is σ = 483436800. Its totient is φ = 74577024.

The previous prime is 199000981. The next prime is 199001009. The reversal of 199000984 is 489000991.

199000984 is digitally balanced in base 2, 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 (199000981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6639 + ... + 21025.

It is an arithmetic number, because the mean of its divisors is an integer number (7553700).

Almost surely, 2199000984 is an apocalyptic number.

199000984 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 199000984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241718400).

199000984 is an abundant number, since it is smaller than the sum of its proper divisors (284435816).

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

199000984 is a wasteful number, since it uses less digits than its factorization.

199000984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14432 (or 14428 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 199000984 is about 14106.7708565781. The cubic root of 199000984 is about 583.8282083679.

The spelling of 199000984 in words is "one hundred ninety-nine million, nine hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 6916 13832 14387 28774 57548 100709 115096 187031 201418 273353 374062 402836 546706 748124 805672 1093412 1309217 1496248 1913471 2186824 2618434 3553589 3826942 5236868 7107178 7653884 10473736 14214356 15307768 24875123 28428712 49750246 99500492 199000984