Search a number
-
+
12134688 = 253413083
BaseRepresentation
bin101110010010…
…100100100000
3211211111122220
4232102210200
511101302223
61112031040
7205100046
oct56224440
924744586
1012134688
116938a75
124092480
13268b3b7
14187c396
1510ea6e3
hexb92920

12134688 has 48 divisors (see below), whose sum is σ = 32641056. Its totient is φ = 3944960.

The previous prime is 12134677. The next prime is 12134693. The reversal of 12134688 is 88643121.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2395 + ... + 5477.

It is an arithmetic number, because the mean of its divisors is an integer number (680022).

Almost surely, 212134688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320528).

12134688 is an abundant number, since it is smaller than the sum of its proper divisors (20506368).

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

12134688 is a wasteful number, since it uses less digits than its factorization.

12134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3129 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 12134688 is about 3483.4879072562. The cubic root of 12134688 is about 229.7962152109.

The spelling of 12134688 in words is "twelve million, one hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3083 3936 6166 9249 12332 18498 24664 36996 49328 73992 98656 126403 147984 252806 295968 379209 505612 758418 1011224 1516836 2022448 3033672 4044896 6067344 12134688