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199917060 = 223572531283
BaseRepresentation
bin10111110101001…
…11111000000100
3111221011211122120
423322213320010
5402134321220
631500525540
74645160400
oct1372477004
9457154576
10199917060
11a2936712
1256b508b0
1332558625
141c7a0100
151283ea40
hexbea7e04

199917060 has 144 divisors (see below), whose sum is σ = 663961536. Its totient is φ = 44798208.

The previous prime is 199917041. The next prime is 199917061. The reversal of 199917060 is 60719991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (199917061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155179 + ... + 156461.

It is an arithmetic number, because the mean of its divisors is an integer number (4610844).

Almost surely, 2199917060 is an apocalyptic number.

199917060 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 199917060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331980768).

199917060 is an abundant number, since it is smaller than the sum of its proper divisors (464044476).

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

199917060 is a wasteful number, since it uses less digits than its factorization.

199917060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 42.

The square root of 199917060 is about 14139.2029478327. The cubic root of 199917060 is about 584.7226971216.

The spelling of 199917060 in words is "one hundred ninety-nine million, nine hundred seventeen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 53 60 70 84 98 105 106 140 147 159 196 210 212 245 265 294 318 371 420 490 530 588 636 735 742 795 980 1060 1113 1283 1470 1484 1590 1855 2226 2566 2597 2940 3180 3710 3849 4452 5132 5194 5565 6415 7420 7698 7791 8981 10388 11130 12830 12985 15396 15582 17962 19245 22260 25660 25970 26943 31164 35924 38490 38955 44905 51940 53886 62867 67999 76980 77910 89810 107772 125734 134715 135998 155820 179620 188601 203997 251468 269430 271996 314335 339995 377202 407994 475993 538860 628670 679990 754404 815988 943005 951986 1019985 1257340 1359980 1427979 1886010 1903972 2039970 2379965 2855958 3331951 3772020 4079940 4759930 5711916 6663902 7139895 9519860 9995853 13327804 14279790 16659755 19991706 28559580 33319510 39983412 49979265 66639020 99958530 199917060