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190320200 = 23527672029
BaseRepresentation
bin10110101100000…
…00111001001000
3111021010021020022
423112000321020
5342210221300
630515120012
74500460250
oct1326007110
9437107208
10190320200
1198481424
12538a3008
1330578405
141b3c2960
1511a96285
hexb580e48

190320200 has 96 divisors (see below), whose sum is σ = 513508800. Its totient is φ = 64247040.

The previous prime is 190320199. The next prime is 190320203. The reversal of 190320200 is 2023091.

It is not an unprimeable number, because it can be changed into a prime (190320203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92786 + ... + 94814.

It is an arithmetic number, because the mean of its divisors is an integer number (5349050).

Almost surely, 2190320200 is an apocalyptic number.

190320200 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 190320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256754400).

190320200 is an abundant number, since it is smaller than the sum of its proper divisors (323188600).

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

190320200 is a wasteful number, since it uses less digits than its factorization.

190320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 190320200 is about 13795.6587374435. The cubic root of 190320200 is about 575.2124734622.

Adding to 190320200 its reverse (2023091), we get a palindrome (192343291).

The spelling of 190320200 in words is "one hundred ninety million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 134 140 175 200 268 280 335 350 469 536 670 700 938 1340 1400 1675 1876 2029 2345 2680 3350 3752 4058 4690 6700 8116 9380 10145 11725 13400 14203 16232 18760 20290 23450 28406 40580 46900 50725 56812 71015 81160 93800 101450 113624 135943 142030 202900 271886 284060 355075 405800 543772 568120 679715 710150 951601 1087544 1359430 1420300 1903202 2718860 2840600 3398575 3806404 4758005 5437720 6797150 7612808 9516010 13594300 19032020 23790025 27188600 38064040 47580050 95160100 190320200