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135782112 = 2531414397
BaseRepresentation
bin10000001011111…
…01111011100000
3100110111110001010
420011331323200
5234230011422
621250140520
73236062134
oct1005757340
9313443033
10135782112
116a711124
1239581740
132219155b
14140673c4
15bdc1b0c
hex817dee0

135782112 has 24 divisors (see below), whose sum is σ = 356428296. Its totient is φ = 45260672.

The previous prime is 135782099. The next prime is 135782123. The reversal of 135782112 is 211287531.

135782112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135782112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 707103 + ... + 707294.

It is an arithmetic number, because the mean of its divisors is an integer number (14851179).

Almost surely, 2135782112 is an apocalyptic number.

135782112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135782112 is an abundant number, since it is smaller than the sum of its proper divisors (220646184).

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

135782112 is a wasteful number, since it uses less digits than its factorization.

135782112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414410 (or 1414402 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 135782112 is about 11652.5581740663. The cubic root of 135782112 is about 513.9815382954.

The spelling of 135782112 in words is "one hundred thirty-five million, seven hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1414397 2828794 4243191 5657588 8486382 11315176 16972764 22630352 33945528 45260704 67891056 135782112