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11988608 = 27229409
BaseRepresentation
bin101101101110…
…111010000000
3211120002021112
4231232322000
511032113413
61104542452
7203621132
oct55567200
924502245
1011988608
116849245
124021a28
132639a68
141841052
1510bc2a8
hexb6ee80

11988608 has 32 divisors (see below), whose sum is σ = 24046500. Its totient is φ = 5953536.

The previous prime is 11988607. The next prime is 11988617. The reversal of 11988608 is 80688911.

11988608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9193024 + 2795584 = 3032^2 + 1672^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11988607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29108 + ... + 29516.

Almost surely, 211988608 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 11988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12023250).

11988608 is an abundant number, since it is smaller than the sum of its proper divisors (12057892).

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

11988608 is an equidigital number, since it uses as much as digits as its factorization.

11988608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 11988608 is about 3462.4569311401. The cubic root of 11988608 is about 228.8703778804.

The spelling of 11988608 in words is "eleven million, nine hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 229 409 458 818 916 1636 1832 3272 3664 6544 7328 13088 14656 26176 29312 52352 93661 187322 374644 749288 1498576 2997152 5994304 11988608