Search a number
-
+
135040200 = 23352225067
BaseRepresentation
bin10000000110010…
…00110011001000
3100102002202022220
420003020303020
5234032241300
621222214040
73226552131
oct1003106310
9312082286
10135040200
116a254779
1239284320
1321c91959
1413d12c88
15bcc6da0
hex80c8cc8

135040200 has 48 divisors (see below), whose sum is σ = 418626480. Its totient is φ = 36010560.

The previous prime is 135040193. The next prime is 135040223. The reversal of 135040200 is 2040531.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 135040200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111934 + ... + 113133.

It is an arithmetic number, because the mean of its divisors is an integer number (8721385).

Almost surely, 2135040200 is an apocalyptic number.

135040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135040200 is an abundant number, since it is smaller than the sum of its proper divisors (283586280).

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

135040200 is a wasteful number, since it uses less digits than its factorization.

135040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225086 (or 225077 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 135040200 is about 11620.6798424189. The cubic root of 135040200 is about 513.0436982334.

Adding to 135040200 its reverse (2040531), we get a palindrome (137080731).

The spelling of 135040200 in words is "one hundred thirty-five million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 225067 450134 675201 900268 1125335 1350402 1800536 2250670 2700804 3376005 4501340 5401608 5626675 6752010 9002680 11253350 13504020 16880025 22506700 27008040 33760050 45013400 67520100 135040200