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12199488 = 263729313
BaseRepresentation
bin101110100010…
…011001000000
3211221210112220
4232202121000
511110340423
61113251040
7205460010
oct56423100
924853486
1012199488
116982724
124103a80
1326b1a42
141897c40
15110e9e3
hexba2640

12199488 has 112 divisors (see below), whose sum is σ = 38282880. Its totient is φ = 3354624.

The previous prime is 12199457. The next prime is 12199507. The reversal of 12199488 is 88499121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38820 + ... + 39132.

Almost surely, 212199488 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 12199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141440).

12199488 is an abundant number, since it is smaller than the sum of its proper divisors (26083392).

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

12199488 is a wasteful number, since it uses less digits than its factorization.

12199488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 12199488 is about 3492.7765459588. The cubic root of 12199488 is about 230.2045313587.

The spelling of 12199488 in words is "twelve million, one hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 313 336 348 406 448 464 609 626 672 696 812 928 939 1218 1252 1344 1392 1624 1856 1878 2191 2436 2504 2784 3248 3756 4382 4872 5008 5568 6496 6573 7512 8764 9077 9744 10016 12992 13146 15024 17528 18154 19488 20032 26292 27231 30048 35056 36308 38976 52584 54462 60096 63539 70112 72616 105168 108924 127078 140224 145232 190617 210336 217848 254156 290464 381234 420672 435696 508312 580928 762468 871392 1016624 1524936 1742784 2033248 3049872 4066496 6099744 12199488