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11198016 = 263219441
BaseRepresentation
bin101010101101…
…111001000000
3210001220210100
4222231321000
510331314031
61040002400
7164116164
oct52557100
923056710
1011198016
116359265
123900400
132420c5b
1416b6ca4
15eb2de6
hexaade40

11198016 has 42 divisors (see below), whose sum is σ = 32098742. Its totient is φ = 3732480.

The previous prime is 11198003. The next prime is 11198029. The reversal of 11198016 is 61089111.

It is an interprime number because it is at equal distance from previous prime (11198003) and next prime (11198029).

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 2903616 = 2880^2 + 1704^2 .

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 5 ways as a sum of consecutive naturals, for example, 9145 + ... + 10296.

Almost surely, 211198016 is an apocalyptic number.

11198016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11198016 is an abundant number, since it is smaller than the sum of its proper divisors (20900726).

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

11198016 is a wasteful number, since it uses less digits than its factorization.

11198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19459 (or 19446 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11198016 is about 3346.3436763130. The cubic root of 11198016 is about 223.7245764524.

The spelling of 11198016 in words is "eleven million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19441 38882 58323 77764 116646 155528 174969 233292 311056 349938 466584 622112 699876 933168 1244224 1399752 1866336 2799504 3732672 5599008 11198016