Search a number
-
+
134910816 = 2535923819
BaseRepresentation
bin10000000101010…
…01001101100000
3100101212011211220
420002221031200
5234014121231
621215335040
73225502665
oct1002511540
9311764756
10134910816
116a176547
1239221480
1321c47ab1
1413cbba6c
15bc9d896
hex80a9360

134910816 has 48 divisors (see below), whose sum is σ = 360158400. Its totient is φ = 44206208.

The previous prime is 134910803. The next prime is 134910817. The reversal of 134910816 is 618019431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134910817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6246 + ... + 17573.

It is an arithmetic number, because the mean of its divisors is an integer number (7503300).

Almost surely, 2134910816 is an apocalyptic number.

134910816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134910816 is an abundant number, since it is smaller than the sum of its proper divisors (225247584).

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

134910816 is a wasteful number, since it uses less digits than its factorization.

134910816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23891 (or 23883 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 134910816 is about 11615.1115362703. Note that the first 3 decimals coincide. The cubic root of 134910816 is about 512.8797943072.

The spelling of 134910816 in words is "one hundred thirty-four million, nine hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 23819 47638 71457 95276 142914 190552 285828 381104 571656 762208 1143312 1405321 2286624 2810642 4215963 5621284 8431926 11242568 16863852 22485136 33727704 44970272 67455408 134910816