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198982020 = 223541471721
BaseRepresentation
bin10111101110000…
…11100110000100
3111212102100000110
423313003212010
5401414411040
631424513020
74634214336
oct1367034604
9455370013
10198982020
11a2358156
125677b770
13322bbb53
141c5d9456
1512707980
hexbdc3984

198982020 has 96 divisors (see below), whose sum is σ = 583220736. Its totient is φ = 50636800.

The previous prime is 198981997. The next prime is 198982031. The reversal of 198982020 is 20289891.

198982020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198982020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114760 + ... + 116480.

It is an arithmetic number, because the mean of its divisors is an integer number (6075216).

Almost surely, 2198982020 is an apocalyptic number.

198982020 is a gapful number since it is divisible by the number (10) 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 198982020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291610368).

198982020 is an abundant number, since it is smaller than the sum of its proper divisors (384238716).

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

198982020 is a wasteful number, since it uses less digits than its factorization.

198982020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 198982020 is about 14106.0986810670. The cubic root of 198982020 is about 583.8096622790.

The spelling of 198982020 in words is "one hundred ninety-eight million, nine hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 47 60 82 94 123 141 164 188 205 235 246 282 410 470 492 564 615 705 820 940 1230 1410 1721 1927 2460 2820 3442 3854 5163 5781 6884 7708 8605 9635 10326 11562 17210 19270 20652 23124 25815 28905 34420 38540 51630 57810 70561 80887 103260 115620 141122 161774 211683 242661 282244 323548 352805 404435 423366 485322 705610 808870 846732 970644 1058415 1213305 1411220 1617740 2116830 2426610 3316367 4233660 4853220 6632734 9949101 13265468 16581835 19898202 33163670 39796404 49745505 66327340 99491010 198982020