Search a number
-
+
199006785 = 32553181461
BaseRepresentation
bin10111101110010…
…01101001000001
3111212110120222200
423313021221001
5401421204120
631425223413
74634346465
oct1367115101
9455416880
10199006785
11a237481a
1256791b69
13322ca1c3
141c6044a5
151270ee90
hexbdc9a41

199006785 has 48 divisors (see below), whose sum is σ = 354161808. Its totient is φ = 103334400.

The previous prime is 199006751. The next prime is 199006807. The reversal of 199006785 is 587600991.

199006785 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28547649 + 170459136 = 5343^2 + 13056^2 .

It is not a de Polignac number, because 199006785 - 29 = 199006273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 199006785.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431455 + ... + 431915.

It is an arithmetic number, because the mean of its divisors is an integer number (7378371).

Almost surely, 2199006785 is an apocalyptic number.

199006785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199006785 is the 8145-th octagonal number.

It is an amenable number.

199006785 is a deficient number, since it is larger than the sum of its proper divisors (155155023).

199006785 is a wasteful number, since it uses less digits than its factorization.

199006785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 199006785 is about 14106.9764655648. The cubic root of 199006785 is about 583.8338812955.

The spelling of 199006785 in words is "one hundred ninety-nine million, six thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 45 53 159 181 265 461 477 543 795 905 1383 1629 2305 2385 2715 4149 6915 8145 9593 20745 24433 28779 47965 73299 83441 86337 122165 143895 219897 250323 366495 417205 431685 750969 1099485 1251615 3754845 4422373 13267119 22111865 39801357 66335595 199006785