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11804016 = 243719432
BaseRepresentation
bin101101000001…
…110101110000
3211012201001210
4231001311300
511010212031
61101000120
7202222020
oct55016560
924181053
1011804016
116732594
123b53040
1325a3a33
1417d3a80
151082746
hexb41d70

11804016 has 120 divisors (see below), whose sum is σ = 37557120. Its totient is φ = 3120768.

The previous prime is 11803969. The next prime is 11804021. The reversal of 11804016 is 61040811.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11803983 and 11804001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 274491 + ... + 274533.

It is an arithmetic number, because the mean of its divisors is an integer number (312976).

Almost surely, 211804016 is an apocalyptic number.

11804016 is a gapful number since it is divisible by the number (16) 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 11804016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778560).

11804016 is an abundant number, since it is smaller than the sum of its proper divisors (25753104).

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

11804016 is a wasteful number, since it uses less digits than its factorization.

11804016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11804016 is about 3435.6973091354. The cubic root of 11804016 is about 227.6896361901.

Adding to 11804016 its reverse (61040811), we get a palindrome (72844827).

The spelling of 11804016 in words is "eleven million, eight hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 43 48 56 57 76 84 86 112 114 129 133 152 168 172 228 258 266 301 304 336 344 399 456 516 532 602 688 798 817 903 912 1032 1064 1204 1596 1634 1806 1849 2064 2128 2408 2451 3192 3268 3612 3698 4816 4902 5547 5719 6384 6536 7224 7396 9804 11094 11438 12943 13072 14448 14792 17157 19608 22188 22876 25886 29584 34314 35131 38829 39216 44376 45752 51772 68628 70262 77658 88752 91504 103544 105393 137256 140524 155316 207088 210786 245917 274512 281048 310632 421572 491834 562096 621264 737751 843144 983668 1475502 1686288 1967336 2951004 3934672 5902008 11804016