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12098496 = 263611033
BaseRepresentation
bin101110001001…
…101111000000
3211202200000110
4232021233000
511044122441
61111151320
7204556404
oct56115700
924680013
1012098496
116913863
124075540
132677a97
14186d104
1510deb16
hexb89bc0

12098496 has 56 divisors (see below), whose sum is σ = 32566864. Its totient is φ = 3962880.

The previous prime is 12098479. The next prime is 12098501. The reversal of 12098496 is 69489021.

It is a super-3 number, since 3×120984963 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11196 + ... + 12228.

Almost surely, 212098496 is an apocalyptic number.

12098496 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 12098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283432).

12098496 is an abundant number, since it is smaller than the sum of its proper divisors (20468368).

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

12098496 is a wasteful number, since it uses less digits than its factorization.

12098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 12098496 is about 3478.2892346670. The cubic root of 12098496 is about 229.5675301200.

It can be divided in two parts, 120984 and 96, that multiplied together give a square (11614464 = 34082).

The spelling of 12098496 in words is "twelve million, ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1033 1464 1952 2066 2928 3099 3904 4132 5856 6198 8264 11712 12396 16528 24792 33056 49584 63013 66112 99168 126026 189039 198336 252052 378078 504104 756156 1008208 1512312 2016416 3024624 4032832 6049248 12098496