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11210304 = 263719439
BaseRepresentation
bin101010110000…
…111001000000
3210002112122110
4222300321000
510332212204
61040135320
7164200050
oct52607100
923075573
1011210304
116367516
123907540
132426721
1416bb560
15eb6889
hexab0e40

11210304 has 112 divisors (see below), whose sum is σ = 35763200. Its totient is φ = 3027456.

The previous prime is 11210279. The next prime is 11210317. The reversal of 11210304 is 40301211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 11210304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25317 + ... + 25755.

Almost surely, 211210304 is an apocalyptic number.

11210304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881600).

11210304 is an abundant number, since it is smaller than the sum of its proper divisors (24552896).

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

11210304 is a wasteful number, since it uses less digits than its factorization.

11210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

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

The square root of 11210304 is about 3348.1792066734. The cubic root of 11210304 is about 223.8063803075.

Adding to 11210304 its reverse (40301211), we get a palindrome (51511515).

The spelling of 11210304 in words is "eleven million, two hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 439 448 456 532 608 672 798 878 912 1064 1216 1317 1344 1596 1756 1824 2128 2634 3073 3192 3512 3648 4256 5268 6146 6384 7024 8341 8512 9219 10536 12292 12768 14048 16682 18438 21072 24584 25023 25536 28096 33364 36876 42144 49168 50046 58387 66728 73752 84288 98336 100092 116774 133456 147504 175161 196672 200184 233548 266912 295008 350322 400368 467096 533824 590016 700644 800736 934192 1401288 1601472 1868384 2802576 3736768 5605152 11210304