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12136392 = 23362081
BaseRepresentation
bin101110010010…
…111111001000
3211211121000000
4232102333020
511101331032
61112043000
7205105032
oct56227710
924747000
1012136392
11693a284
124093460
13268c0c8
14187cc52
1510eae7c
hexb92fc8

12136392 has 56 divisors (see below), whose sum is σ = 34134390. Its totient is φ = 4043520.

The previous prime is 12136373. The next prime is 12136393. The reversal of 12136392 is 29363121.

12136392 is a `hidden beast` number, since 1 + 21 + 3 + 639 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10850436 + 1285956 = 3294^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (12136393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4792 + ... + 6872.

Almost surely, 212136392 is an apocalyptic number.

12136392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12136392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067195).

12136392 is an abundant number, since it is smaller than the sum of its proper divisors (21997998).

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

12136392 is an equidigital number, since it uses as much as digits as its factorization.

12136392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2086 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12136392 is about 3483.7324811185. The cubic root of 12136392 is about 229.8069709997.

The spelling of 12136392 in words is "twelve million, one hundred thirty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2081 2916 4162 5832 6243 8324 12486 16648 18729 24972 37458 49944 56187 74916 112374 149832 168561 224748 337122 449496 505683 674244 1011366 1348488 1517049 2022732 3034098 4045464 6068196 12136392