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12148336 = 241759757
BaseRepresentation
bin101110010101…
…111001110000
3211212012101101
4232111321300
511102221321
61112214144
7205154614
oct56257160
924765341
1012148336
116948252
12409a354
132694685
141883344
1510ee791
hexb95e70

12148336 has 40 divisors (see below), whose sum is σ = 25377840. Its totient is φ = 5612544.

The previous prime is 12148327. The next prime is 12148343. The reversal of 12148336 is 63384121.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15670 + ... + 16426.

It is an arithmetic number, because the mean of its divisors is an integer number (634446).

Almost surely, 212148336 is an apocalyptic number.

12148336 is a gapful number since it is divisible by the number (16) 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 12148336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688920).

12148336 is an abundant number, since it is smaller than the sum of its proper divisors (13229504).

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

12148336 is a wasteful number, since it uses less digits than its factorization.

12148336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 12148336 is about 3485.4463128845. The cubic root of 12148336 is about 229.8823342686.

The spelling of 12148336 in words is "twelve million, one hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 757 944 1003 1514 2006 3028 4012 6056 8024 12112 12869 16048 25738 44663 51476 89326 102952 178652 205904 357304 714608 759271 1518542 3037084 6074168 12148336