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11198304 = 253313997
BaseRepresentation
bin101010101101…
…111101100000
3210001221012000
4222231331200
510331321204
61040004000
7164120055
oct52557540
923057160
1011198304
1163594a7
123900600
132421120
1416b702c
15eb3039
hexaadf60

11198304 has 96 divisors (see below), whose sum is σ = 35209440. Its totient is φ = 3442176.

The previous prime is 11198303. The next prime is 11198351. The reversal of 11198304 is 40389111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11198303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10734 + ... + 11730.

It is an arithmetic number, because the mean of its divisors is an integer number (366765).

Almost surely, 211198304 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 11198304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604720).

11198304 is an abundant number, since it is smaller than the sum of its proper divisors (24011136).

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

11198304 is a wasteful number, since it uses less digits than its factorization.

11198304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11198304 is about 3346.3867080778. The cubic root of 11198304 is about 223.7264944150.

The spelling of 11198304 in words is "eleven million, one hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 997 1248 1404 1872 1994 2808 2991 3744 3988 5616 5982 7976 8973 11232 11964 12961 15952 17946 23928 25922 26919 31904 35892 38883 47856 51844 53838 71784 77766 95712 103688 107676 116649 143568 155532 207376 215352 233298 287136 311064 349947 414752 430704 466596 622128 699894 861408 933192 1244256 1399788 1866384 2799576 3732768 5599152 11198304