Search a number
-
+
136221824 = 272346271
BaseRepresentation
bin10000001111010…
…01010010000000
3100111022210012202
420013221102000
5234333044244
621303412332
73242603114
oct1007512200
9314283182
10136221824
116a991522
12397540a8
13222b673b
141413d744
15be5c04e
hex81e9480

136221824 has 32 divisors (see below), whose sum is σ = 283184640. Its totient is φ = 65148160.

The previous prime is 136221817. The next prime is 136221829. The reversal of 136221824 is 428122631.

It is a happy number.

136221824 is digitally balanced in base 3, 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 (32).

It is not an unprimeable number, because it can be changed into a prime (136221829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20192 + ... + 26079.

It is an arithmetic number, because the mean of its divisors is an integer number (8849520).

Almost surely, 2136221824 is an apocalyptic number.

It is an amenable number.

136221824 is an abundant number, since it is smaller than the sum of its proper divisors (146962816).

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

136221824 is an equidigital number, since it uses as much as digits as its factorization.

136221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46308 (or 46296 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 136221824 is about 11671.4105402903. The cubic root of 136221824 is about 514.5357603595.

The spelling of 136221824 in words is "one hundred thirty-six million, two hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 46271 92542 185084 370168 740336 1064233 1480672 2128466 2961344 4256932 5922688 8513864 17027728 34055456 68110912 136221824