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11884768 = 257173121
BaseRepresentation
bin101101010101…
…100011100000
3211100210211121
4231111203200
511020303033
61102422024
7203006320
oct55254340
924323747
1011884768
116788225
123b91914
13260170c
141815280
15109b62d
hexb558e0

11884768 has 48 divisors (see below), whose sum is σ = 28322784. Its totient is φ = 4792320.

The previous prime is 11884739. The next prime is 11884777. The reversal of 11884768 is 86748811.

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, 2248 + ... + 5368.

It is an arithmetic number, because the mean of its divisors is an integer number (590058).

Almost surely, 211884768 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 11884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14161392).

11884768 is an abundant number, since it is smaller than the sum of its proper divisors (16438016).

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

11884768 is a wasteful number, since it uses less digits than its factorization.

11884768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3147 counting only the distinct ones).

The product of its digits is 86016, while the sum is 43.

The square root of 11884768 is about 3447.4291870900. The cubic root of 11884768 is about 228.2076696189.

The spelling of 11884768 in words is "eleven million, eight hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3121 3808 6242 12484 21847 24968 43694 49936 53057 87388 99872 106114 174776 212228 349552 371399 424456 699104 742798 848912 1485596 1697824 2971192 5942384 11884768