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11331296 = 251918637
BaseRepresentation
bin101011001110…
…011011100000
3210022200121122
4223032123200
510400100141
61042511412
7165212564
oct53163340
923280548
1011331296
11643a409
123965568
132469812
14170d6a4
15edc64b
hexace6e0

11331296 has 24 divisors (see below), whose sum is σ = 23483880. Its totient is φ = 5367168.

The previous prime is 11331289. The next prime is 11331311. The reversal of 11331296 is 69213311.

11331296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8711 + ... + 9926.

It is an arithmetic number, because the mean of its divisors is an integer number (978495).

Almost surely, 211331296 is an apocalyptic number.

11331296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11331296 is an abundant number, since it is smaller than the sum of its proper divisors (12152584).

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

11331296 is a wasteful number, since it uses less digits than its factorization.

11331296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18666 (or 18658 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 11331296 is about 3366.1990434316. The cubic root of 11331296 is about 224.6086761761.

The spelling of 11331296 in words is "eleven million, three hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 18637 37274 74548 149096 298192 354103 596384 708206 1416412 2832824 5665648 11331296