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10968384 = 26378161
BaseRepresentation
bin101001110101…
…110101000000
3202122020210110
4221311311000
510301442014
61031031320
7162141540
oct51656500
922566713
1010968384
116211789
12380b540
13237058b
141657320
15e69d59
hexa75d40

10968384 has 56 divisors (see below), whose sum is σ = 33170368. Its totient is φ = 3133440.

The previous prime is 10968379. The next prime is 10968407. The reversal of 10968384 is 48386901.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 2737 + ... + 5424.

It is an arithmetic number, because the mean of its divisors is an integer number (592328).

Almost surely, 210968384 is an apocalyptic number.

10968384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10968384 is an abundant number, since it is smaller than the sum of its proper divisors (22201984).

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

10968384 is an equidigital number, since it uses as much as digits as its factorization.

10968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 10968384 is about 3311.8550692927. The cubic root of 10968384 is about 222.1847338243.

The spelling of 10968384 in words is "ten million, nine hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 8161 16322 24483 32644 48966 57127 65288 97932 114254 130576 171381 195864 228508 261152 342762 391728 457016 522304 685524 783456 914032 1371048 1566912 1828064 2742096 3656128 5484192 10968384