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11830336 = 26726407
BaseRepresentation
bin101101001000…
…010001000000
3211021001011121
4231020101000
511012032321
61101322024
7202361530
oct55102100
924231147
1011830336
116750341
123b66314
1325b29cb
1417dd4c0
15108a441
hexb48440

11830336 has 28 divisors (see below), whose sum is σ = 26830528. Its totient is φ = 5069952.

The previous prime is 11830297. The next prime is 11830337. The reversal of 11830336 is 63303811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11830336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830337) 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 3 ways as a sum of consecutive naturals, for example, 12756 + ... + 13651.

Almost surely, 211830336 is an apocalyptic number.

11830336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11830336 is an abundant number, since it is smaller than the sum of its proper divisors (15000192).

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

11830336 is an equidigital number, since it uses as much as digits as its factorization.

11830336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26426 (or 26416 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 11830336 is about 3439.5255486767. The cubic root of 11830336 is about 227.8587408573.

The spelling of 11830336 in words is "eleven million, eight hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 26407 52814 105628 184849 211256 369698 422512 739396 845024 1478792 1690048 2957584 5915168 11830336