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135930016 = 254790379
BaseRepresentation
bin10000001101000…
…10000010100000
3100110202221221001
420012202002200
5234244230031
621253241344
73240246265
oct1006420240
9313687831
10135930016
116a802262
1239633254
1322213981
14140a526c
15be00861
hex81a20a0

135930016 has 24 divisors (see below), whose sum is σ = 273309120. Its totient is φ = 66518208.

The previous prime is 135929951. The next prime is 135930017. The reversal of 135930016 is 610039531.

135930016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135930017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43686 + ... + 46693.

It is an arithmetic number, because the mean of its divisors is an integer number (11387880).

Almost surely, 2135930016 is an apocalyptic number.

135930016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135930016 is an abundant number, since it is smaller than the sum of its proper divisors (137379104).

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

135930016 is an equidigital number, since it uses as much as digits as its factorization.

135930016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90436 (or 90428 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 135930016 is about 11658.9028643350. The cubic root of 135930016 is about 514.1680929130.

Adding to 135930016 its reverse (610039531), we get a palindrome (745969547).

It can be divided in two parts, 1359 and 30016, that added together give a triangular number (31375 = T250).

The spelling of 135930016 in words is "one hundred thirty-five million, nine hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 90379 180758 361516 723032 1446064 2892128 4247813 8495626 16991252 33982504 67965008 135930016