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12199936 = 21172337
BaseRepresentation
bin101110100010…
…100000000000
3211221211011111
4232202200000
511110344221
61113253104
7205461220
oct56424000
924854144
1012199936
116982aa1
124104194
1326b1cc8
141898080
15110ebe1
hexba2800

12199936 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 4866048.

The previous prime is 12199933. The next prime is 12199937. The reversal of 12199936 is 63999121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12199933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329710 + ... + 329746.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 212199936 is an apocalyptic number.

12199936 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 12199936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

12199936 is an abundant number, since it is smaller than the sum of its proper divisors (17677184).

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

12199936 is an equidigital number, since it uses as much as digits as its factorization.

12199936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its digits is 26244, while the sum is 40.

The square root of 12199936 is about 3492.8406777292. The cubic root of 12199936 is about 230.2073492465.

The spelling of 12199936 in words is "twelve million, one hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 56 64 74 92 112 128 148 161 184 224 256 259 296 322 368 448 512 518 592 644 736 851 896 1024 1036 1184 1288 1472 1702 1792 2048 2072 2368 2576 2944 3404 3584 4144 4736 5152 5888 5957 6808 7168 8288 9472 10304 11776 11914 13616 14336 16576 18944 20608 23552 23828 27232 33152 37888 41216 47104 47656 54464 66304 75776 82432 95312 108928 132608 164864 190624 217856 265216 329728 381248 435712 530432 762496 871424 1524992 1742848 3049984 6099968 12199936