Search a number
-
+
135483768 = 23327268817
BaseRepresentation
bin10000001001101…
…01000101111000
3100102221021210100
420010311011320
5234140440033
621235515400
73233410260
oct1004650570
9312837710
10135483768
116a527a62
1239458b60
13220b8814
1413dca7a0
15bd63513
hex8135178

135483768 has 48 divisors (see below), whose sum is σ = 419356080. Its totient is φ = 38709504.

The previous prime is 135483757. The next prime is 135483769. The reversal of 135483768 is 867384531.

135483768 is a `hidden beast` number, since 13 + 548 + 37 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135483769) 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 11 ways as a sum of consecutive naturals, for example, 133905 + ... + 134912.

It is an arithmetic number, because the mean of its divisors is an integer number (8736585).

Almost surely, 2135483768 is an apocalyptic number.

135483768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135483768 is an abundant number, since it is smaller than the sum of its proper divisors (283872312).

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

135483768 is a wasteful number, since it uses less digits than its factorization.

135483768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268836 (or 268829 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 135483768 is about 11639.7494818402. The cubic root of 135483768 is about 513.6048176973.

The spelling of 135483768 in words is "one hundred thirty-five million, four hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 268817 537634 806451 1075268 1612902 1881719 2150536 2419353 3225804 3763438 4838706 5645157 6451608 7526876 9677412 11290314 15053752 16935471 19354824 22580628 33870942 45161256 67741884 135483768