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199927104 = 26313173463
BaseRepresentation
bin10111110101010…
…10010101000000
3111221012100102120
423322222111000
5402140131404
631501044240
74645231566
oct1372522500
9457170376
10199927104
11a2943213
1256b56680
1332560080
141c7a3a36
15128429d9
hexbeaa540

199927104 has 112 divisors (see below), whose sum is σ = 574194432. Its totient is φ = 61028352.

The previous prime is 199927099. The next prime is 199927121. The reversal of 199927104 is 401729991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431577 + ... + 432039.

It is an arithmetic number, because the mean of its divisors is an integer number (5126736).

Almost surely, 2199927104 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 199927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287097216).

199927104 is an abundant number, since it is smaller than the sum of its proper divisors (374267328).

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

199927104 is a wasteful number, since it uses less digits than its factorization.

199927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 199927104 is about 14139.5581260519. The cubic root of 199927104 is about 584.7324892764.

The spelling of 199927104 in words is "one hundred ninety-nine million, nine hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 173 192 208 312 346 416 463 519 624 692 832 926 1038 1248 1384 1389 1852 2076 2249 2496 2768 2778 3704 4152 4498 5536 5556 6019 6747 7408 8304 8996 11072 11112 12038 13494 14816 16608 17992 18057 22224 24076 26988 29632 33216 35984 36114 44448 48152 53976 71968 72228 80099 88896 96304 107952 143936 144456 160198 192608 215904 240297 288912 320396 385216 431808 480594 577824 640792 961188 1041287 1155648 1281584 1922376 2082574 2563168 3123861 3844752 4165148 5126336 6247722 7689504 8330296 12495444 15379008 16660592 24990888 33321184 49981776 66642368 99963552 199927104