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12138336 = 25357223
BaseRepresentation
bin101110010011…
…011101100000
3211211200200000
4232103131200
511101411321
61112100000
7205113510
oct56233540
924750600
1012138336
116940791
124094600
13268cc62
14187d840
1510eb826
hexb93760

12138336 has 144 divisors (see below), whose sum is σ = 41094144. Its totient is φ = 3452544.

The previous prime is 12138317. The next prime is 12138353. The reversal of 12138336 is 63383121.

It is a happy number.

12138336 is digitally balanced in base 2 and base 4, because in such bases 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 (144).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54321 + ... + 54543.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

Almost surely, 212138336 is an apocalyptic number.

12138336 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 12138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072).

12138336 is an abundant number, since it is smaller than the sum of its proper divisors (28955808).

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

12138336 is an equidigital number, since it uses as much as digits as its factorization.

12138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12138336 is about 3484.0114810373. The cubic root of 12138336 is about 229.8192404590.

The spelling of 12138336 in words is "twelve million, one hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 223 224 243 252 288 324 336 378 432 446 486 504 567 648 669 672 756 864 892 972 1008 1134 1296 1338 1512 1561 1701 1784 1944 2007 2016 2268 2592 2676 3024 3122 3402 3568 3888 4014 4536 4683 5352 6021 6048 6244 6804 7136 7776 8028 9072 9366 10704 12042 12488 13608 14049 16056 18063 18144 18732 21408 24084 24976 27216 28098 32112 36126 37464 42147 48168 49952 54189 54432 56196 64224 72252 74928 84294 96336 108378 112392 126441 144504 149856 168588 192672 216756 224784 252882 289008 337176 379323 433512 449568 505764 578016 674352 758646 867024 1011528 1348704 1517292 1734048 2023056 3034584 4046112 6069168 12138336