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199142580 = 223571336473
BaseRepresentation
bin10111101111010…
…10110010110100
3111212201111021010
423313222302310
5401440030310
631432152220
74635453420
oct1367526264
9455644233
10199142580
11a245784a
1256838670
1332346c60
141c63bb80
151273a320
hexbdeacb4

199142580 has 96 divisors (see below), whose sum is σ = 686294784. Its totient is φ = 42015744.

The previous prime is 199142527. The next prime is 199142627. The reversal of 199142580 is 85241991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12777 + ... + 23696.

It is an arithmetic number, because the mean of its divisors is an integer number (7148904).

Almost surely, 2199142580 is an apocalyptic number.

199142580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199142580 is an abundant number, since it is smaller than the sum of its proper divisors (487152204).

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

199142580 is a wasteful number, since it uses less digits than its factorization.

199142580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36505 (or 36503 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 199142580 is about 14111.7886888941. The cubic root of 199142580 is about 583.9666467785.

The spelling of 199142580 in words is "one hundred ninety-nine million, one hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 36473 72946 109419 145892 182365 218838 255311 364730 437676 474149 510622 547095 729460 765933 948298 1021244 1094190 1276555 1422447 1531866 1896596 2188380 2370745 2553110 2844894 3063732 3319043 3829665 4741490 5106220 5689788 6638086 7112235 7659330 9482980 9957129 13276172 14224470 15318660 16595215 19914258 28448940 33190430 39828516 49785645 66380860 99571290 199142580