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11102304 = 2531091061
BaseRepresentation
bin101010010110…
…100001100000
3202220001111110
4222112201200
510320233204
61033543320
7163240143
oct52264140
922801443
1011102304
1162a3364
123874b40
1323b9515
14169005a
15e94889
hexa96860

11102304 has 48 divisors (see below), whose sum is σ = 29438640. Its totient is φ = 3663360.

The previous prime is 11102303. The next prime is 11102321. The reversal of 11102304 is 40320111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×111023042 = 246522308216832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11102304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9934 + ... + 10994.

It is an arithmetic number, because the mean of its divisors is an integer number (613305).

Almost surely, 211102304 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 11102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719320).

11102304 is an abundant number, since it is smaller than the sum of its proper divisors (18336336).

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

11102304 is a wasteful number, since it uses less digits than its factorization.

11102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11102304 is about 3332.0120047803. The cubic root of 11102304 is about 223.0853434061.

Adding to 11102304 its reverse (40320111), we get a palindrome (51422415).

The spelling of 11102304 in words is "eleven million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1061 1308 1744 2122 2616 3183 3488 4244 5232 6366 8488 10464 12732 16976 25464 33952 50928 101856 115649 231298 346947 462596 693894 925192 1387788 1850384 2775576 3700768 5551152 11102304