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11318076 = 22337111361
BaseRepresentation
bin101011001011…
…001100111100
3210022000111000
4223023030330
510344134301
61042330300
7165126210
oct53131474
923260430
1011318076
116430490
123959990
1324637b3
141708940
15ed8786
hexacb33c

11318076 has 96 divisors (see below), whose sum is σ = 36610560. Its totient is φ = 2937600.

The previous prime is 11318071. The next prime is 11318081. The reversal of 11318076 is 67081311.

It is an interprime number because it is at equal distance from previous prime (11318071) and next prime (11318081).

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 (11318071) 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 31 ways as a sum of consecutive naturals, for example, 7636 + ... + 8996.

It is an arithmetic number, because the mean of its divisors is an integer number (381360).

Almost surely, 211318076 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 11318076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18305280).

11318076 is an abundant number, since it is smaller than the sum of its proper divisors (25292484).

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

11318076 is a wasteful number, since it uses less digits than its factorization.

11318076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11318076 is about 3364.2348312804. The cubic root of 11318076 is about 224.5212933443.

Adding to 11318076 its reverse (67081311), we get a palindrome (78399387).

The spelling of 11318076 in words is "eleven million, three hundred eighteen thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1361 1386 2079 2722 2772 4083 4158 5444 8166 8316 9527 12249 14971 16332 19054 24498 28581 29942 36747 38108 44913 48996 57162 59884 73494 85743 89826 104797 114324 134739 146988 171486 179652 209594 257229 269478 314391 342972 404217 419188 514458 538956 628782 808434 943173 1028916 1257564 1616868 1886346 2829519 3772692 5659038 11318076