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12239808 = 263721301
BaseRepresentation
bin101110101100…
…001111000000
3212000211212020
4232230033000
511113133213
61114201440
7206015400
oct56541700
925024766
1012239808
1169aaa49
124123280
1326c71b9
1418a8800
15111b923
hexbac3c0

12239808 has 84 divisors (see below), whose sum is σ = 37700712. Its totient is φ = 3494400.

The previous prime is 12239791. The next prime is 12239809. The reversal of 12239808 is 80893221.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12239809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8758 + ... + 10058.

It is an arithmetic number, because the mean of its divisors is an integer number (448818).

Almost surely, 212239808 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 12239808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850356).

12239808 is an abundant number, since it is smaller than the sum of its proper divisors (25460904).

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

12239808 is a wasteful number, since it uses less digits than its factorization.

12239808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12239808 is about 3498.5436970259. The cubic root of 12239808 is about 230.4578654812.

The spelling of 12239808 in words is "twelve million, two hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1301 1344 1568 2352 2602 3136 3903 4704 5204 7806 9107 9408 10408 15612 18214 20816 27321 31224 36428 41632 54642 62448 63749 72856 83264 109284 124896 127498 145712 191247 218568 249792 254996 291424 382494 437136 509992 582848 764988 874272 1019984 1529976 1748544 2039968 3059952 4079936 6119904 12239808