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199290768 = 24323971861
BaseRepresentation
bin10111110000011…
…10111110010000
3111220000000112120
423320032332100
5402004301033
631435254240
74636641435
oct1370167620
9456000476
10199290768
11a2549116
12568aa380
1332399541
141c679b8c
15127691b3
hexbe0ef90

199290768 has 80 divisors (see below), whose sum is σ = 543048576. Its totient is φ = 62853120.

The previous prime is 199290733. The next prime is 199290781. The reversal of 199290768 is 867092991.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 199290768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106158 + ... + 108018.

Almost surely, 2199290768 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 199290768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271524288).

199290768 is an abundant number, since it is smaller than the sum of its proper divisors (343757808).

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

199290768 is a wasteful number, since it uses less digits than its factorization.

199290768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 199290768 is about 14117.0382162832. The cubic root of 199290768 is about 584.1114599293. Note that the first 3 decimals are identical.

The spelling of 199290768 in words is "one hundred ninety-nine million, two hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 97 138 184 194 276 291 368 388 552 582 776 1104 1164 1552 1861 2231 2328 3722 4462 4656 5583 6693 7444 8924 11166 13386 14888 17848 22332 26772 29776 35696 42803 44664 53544 85606 89328 107088 128409 171212 180517 256818 342424 361034 513636 541551 684848 722068 1027272 1083102 1444136 2054544 2166204 2888272 4151891 4332408 8303782 8664816 12455673 16607564 24911346 33215128 49822692 66430256 99645384 199290768