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10793984 = 21083127
BaseRepresentation
bin101001001011…
…010000000000
3202022101120012
4221023100000
510230401414
61023204052
7160514225
oct51132000
922271505
1010793984
116102753
123746628
13230c096
14160d94c
15e3333e
hexa4b400

10793984 has 44 divisors (see below), whose sum is σ = 22009344. Its totient is φ = 5289984.

The previous prime is 10793977. The next prime is 10794001. The reversal of 10793984 is 48939701.

It is a happy number.

10793984 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 84929 + ... + 85055.

Almost surely, 210793984 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 10793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004672).

10793984 is an abundant number, since it is smaller than the sum of its proper divisors (11215360).

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

10793984 is an equidigital number, since it uses as much as digits as its factorization.

10793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 10793984 is about 3285.4199122791. The cubic root of 10793984 is about 221.0008394555. Note that the first 3 decimals are identical.

The spelling of 10793984 in words is "ten million, seven hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 83 127 128 166 254 256 332 508 512 664 1016 1024 1328 2032 2656 4064 5312 8128 10541 10624 16256 21082 21248 32512 42164 42496 65024 84328 84992 130048 168656 337312 674624 1349248 2698496 5396992 10793984