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10805814 = 2322343607
BaseRepresentation
bin101001001110…
…001000110110
3202022222210100
4221032020312
510231241224
61023334530
7160563555
oct51161066
922288710
1010805814
116110628
123751446
132314596
141613d9c
15e36ac9
hexa4e236

10805814 has 48 divisors (see below), whose sum is σ = 25039872. Its totient is φ = 3359664.

The previous prime is 10805803. The next prime is 10805819. The reversal of 10805814 is 41850801.

10805814 is a `hidden beast` number, since 1 + 0 + 80 + 581 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10805819) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17499 + ... + 18105.

It is an arithmetic number, because the mean of its divisors is an integer number (521664).

Almost surely, 210805814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10805814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519936).

10805814 is an abundant number, since it is smaller than the sum of its proper divisors (14234058).

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

10805814 is a wasteful number, since it uses less digits than its factorization.

10805814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10805814 is about 3287.2197979448. The cubic root of 10805814 is about 221.0815475421.

The spelling of 10805814 in words is "ten million, eight hundred five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 607 774 989 1214 1821 1978 2967 3642 5463 5934 8901 10926 13961 17802 26101 27922 41883 52202 78303 83766 125649 156606 234909 251298 469818 600323 1200646 1800969 3601938 5402907 10805814