Search a number
-
+
190363608 = 23342631117
BaseRepresentation
bin10110101100010…
…11011111011000
3111021012110210000
423112023133120
5342213113413
630520053000
74501030641
oct1326133730
9437173700
10190363608
1198500aa6
1253904160
13305920b6
141b3d46c8
1511aa4073
hexb58b7d8

190363608 has 80 divisors (see below), whose sum is σ = 535700880. Its totient is φ = 63156672.

The previous prime is 190363553. The next prime is 190363609. The reversal of 190363608 is 806363091.

It is a happy number.

190363608 is a `hidden beast` number, since 19 + 0 + 3 + 636 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190363609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169866 + ... + 170982.

It is an arithmetic number, because the mean of its divisors is an integer number (6696261).

Almost surely, 2190363608 is an apocalyptic number.

190363608 is a gapful number since it is divisible by the number (18) 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 190363608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267850440).

190363608 is an abundant number, since it is smaller than the sum of its proper divisors (345337272).

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

190363608 is a wasteful number, since it uses less digits than its factorization.

190363608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 190363608 is about 13797.2318962899. The cubic root of 190363608 is about 575.2562013920.

The spelling of 190363608 in words is "one hundred ninety million, three hundred sixty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 263 324 526 648 789 1052 1117 1578 2104 2234 2367 3156 3351 4468 4734 6312 6702 7101 8936 9468 10053 13404 14202 18936 20106 21303 26808 28404 30159 40212 42606 56808 60318 80424 85212 90477 120636 170424 180954 241272 293771 361908 587542 723816 881313 1175084 1762626 2350168 2643939 3525252 5287878 7050504 7931817 10575756 15863634 21151512 23795451 31727268 47590902 63454536 95181804 190363608