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10863104 = 2972433
BaseRepresentation
bin101001011100…
…001000000000
3202102220101012
4221130020000
510240104404
61024500052
7161222600
oct51341000
922386335
1010863104
11614a67a
12377a628
132334695
14162ac00
15e48a6e
hexa5c200

10863104 has 60 divisors (see below), whose sum is σ = 25306974. Its totient is φ = 4644864.

The previous prime is 10863067. The next prime is 10863121. The reversal of 10863104 is 40136801.

It can be written as a sum of positive squares in only one way, i.e., 10549504 + 313600 = 3248^2 + 560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10863104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24872 + ... + 25304.

Almost surely, 210863104 is an apocalyptic number.

10863104 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 10863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12653487).

10863104 is an abundant number, since it is smaller than the sum of its proper divisors (14443870).

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

10863104 is an frugal number, since it uses more digits than its factorization.

10863104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10863104 is about 3295.9223291819. The cubic root of 10863104 is about 221.4715673308.

Adding to 10863104 its reverse (40136801), we get a palindrome (50999905).

The spelling of 10863104 in words is "ten million, eight hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 433 448 512 784 866 896 1568 1732 1792 3031 3136 3464 3584 6062 6272 6928 12124 12544 13856 21217 24248 25088 27712 42434 48496 55424 84868 96992 110848 169736 193984 221696 339472 387968 678944 775936 1357888 1551872 2715776 5431552 10863104