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11323104 = 2531343211
BaseRepresentation
bin101011001100…
…011011100000
3210022021101020
4223030123200
510344314404
61042405440
7165146652
oct53143340
923267336
1011323104
116434241
123960880
132465b80
14170a6d2
15ed9ed9
hexacc6e0

11323104 has 96 divisors (see below), whose sum is σ = 32909184. Its totient is φ = 3386880.

The previous prime is 11323097. The next prime is 11323111. The reversal of 11323104 is 40132311.

It is an interprime number because it is at equal distance from previous prime (11323097) and next prime (11323111).

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

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 15 ways as a sum of consecutive naturals, for example, 53559 + ... + 53769.

It is an arithmetic number, because the mean of its divisors is an integer number (342804).

Almost surely, 211323104 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 11323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16454592).

11323104 is an abundant number, since it is smaller than the sum of its proper divisors (21586080).

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

11323104 is a wasteful number, since it uses less digits than its factorization.

11323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11323104 is about 3364.9820207543. The cubic root of 11323104 is about 224.5545359182.

Adding to 11323104 its reverse (40132311), we get a palindrome (51455415).

The spelling of 11323104 in words is "eleven million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 211 258 312 344 416 422 516 559 624 633 688 844 1032 1118 1248 1266 1376 1677 1688 2064 2236 2532 2743 3354 3376 4128 4472 5064 5486 6708 6752 8229 8944 9073 10128 10972 13416 16458 17888 18146 20256 21944 26832 27219 32916 36292 43888 53664 54438 65832 72584 87776 108876 117949 131664 145168 217752 235898 263328 290336 353847 435504 471796 707694 871008 943592 1415388 1887184 2830776 3774368 5661552 11323104