Search a number
-
+
135882520 = 2353397063
BaseRepresentation
bin10000001100101…
…10011100011000
3100110200112202221
420012112130120
5234241220040
621252233424
73236660644
oct1006263430
9313615687
10135882520
116a77a604
123960b874
13221c8177
1414091c24
15bde174a
hex8196718

135882520 has 16 divisors (see below), whose sum is σ = 305735760. Its totient is φ = 54352992.

The previous prime is 135882503. The next prime is 135882521. The reversal of 135882520 is 25288531.

135882520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135882521) 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 3 ways as a sum of consecutive naturals, for example, 1698492 + ... + 1698571.

It is an arithmetic number, because the mean of its divisors is an integer number (19108485).

Almost surely, 2135882520 is an apocalyptic number.

135882520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135882520 is an abundant number, since it is smaller than the sum of its proper divisors (169853240).

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

135882520 is a wasteful number, since it uses less digits than its factorization.

135882520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397074 (or 3397070 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 135882520 is about 11656.8657880238. The cubic root of 135882520 is about 514.1081999049.

The spelling of 135882520 in words is "one hundred thirty-five million, eight hundred eighty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3397063 6794126 13588252 16985315 27176504 33970630 67941260 135882520