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11488064 = 26725643
BaseRepresentation
bin101011110100…
…101101000000
3210121122122212
4223310231000
510420104224
61050121252
7166434620
oct53645500
923548585
1011488064
116537175
123a20228
1324c2c93
141750880
15101dd0e
hexaf4b40

11488064 has 28 divisors (see below), whose sum is σ = 26054304. Its totient is φ = 4923264.

The previous prime is 11488051. The next prime is 11488079. The reversal of 11488064 is 46088411.

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

It is a super-2 number, since 2×114880642 = 263951228936192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11488064.

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 3 ways as a sum of consecutive naturals, for example, 12374 + ... + 13269.

Almost surely, 211488064 is an apocalyptic number.

11488064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11488064 is an abundant number, since it is smaller than the sum of its proper divisors (14566240).

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

11488064 is an equidigital number, since it uses as much as digits as its factorization.

11488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25662 (or 25652 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 11488064 is about 3389.4046674896. The cubic root of 11488064 is about 225.6397528995.

The spelling of 11488064 in words is "eleven million, four hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 25643 51286 102572 179501 205144 359002 410288 718004 820576 1436008 1641152 2872016 5744032 11488064