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12133648 = 2417311439
BaseRepresentation
bin101110010010…
…010100010000
3211211110020101
4232102110100
511101234043
61112022144
7205064032
oct56222420
924743211
1012133648
11693820a
124091954
13268aa97
14187bc52
1510ea24d
hexb92510

12133648 has 40 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 5521920.

The previous prime is 12133643. The next prime is 12133651. The reversal of 12133648 is 84633121.

It is not an unprimeable number, because it can be changed into a prime (12133643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7713 + ... + 9151.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 212133648 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 12133648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

12133648 is an abundant number, since it is smaller than the sum of its proper divisors (13578992).

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

12133648 is a wasteful number, since it uses less digits than its factorization.

12133648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 12133648 is about 3483.3386283851. The cubic root of 12133648 is about 229.7896501502.

Adding to 12133648 its reverse (84633121), we get a palindrome (96766769).

The spelling of 12133648 in words is "twelve million, one hundred thirty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 1439 2108 2878 4216 5756 8432 11512 23024 24463 44609 48926 89218 97852 178436 195704 356872 391408 713744 758353 1516706 3033412 6066824 12133648