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199327540 = 2251012977
BaseRepresentation
bin10111110000101…
…11111100110100
3111220001212222111
423320113330310
5402011440130
631440140404
74640153566
oct1370277464
9456055874
10199327540
11a2573805
1256907704
13323b01b9
141c689336
151277502a
hexbe17f34

199327540 has 36 divisors (see below), whose sum is σ = 423206028. Its totient is φ = 78860800.

The previous prime is 199327493. The next prime is 199327543. The reversal of 199327540 is 45723991.

It can be written as a sum of positive squares in 6 ways, for example, as 98485776 + 100841764 = 9924^2 + 10042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 199327493 and 199327502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199327543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 203532 + ... + 204508.

It is an arithmetic number, because the mean of its divisors is an integer number (11755723).

Almost surely, 2199327540 is an apocalyptic number.

199327540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199327540 is an abundant number, since it is smaller than the sum of its proper divisors (223878488).

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

199327540 is a wasteful number, since it uses less digits than its factorization.

199327540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 199327540 is about 14118.3405540453. The cubic root of 199327540 is about 584.1473833624.

It can be divided in two parts, 19932 and 7540, that added together give a palindrome (27472).

The spelling of 199327540 in words is "one hundred ninety-nine million, three hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 977 1010 1954 2020 3908 4885 9770 10201 19540 20402 40804 51005 98677 102010 197354 204020 394708 493385 986770 1973540 9966377 19932754 39865508 49831885 99663770 199327540