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10806224 = 2411134723
BaseRepresentation
bin101001001110…
…001111010000
3202100000100112
4221032033100
510231244344
61023340452
7160565012
oct51161720
922300315
1010806224
116110970
123751728
132314820
1416141b2
15e36c9e
hexa4e3d0

10806224 has 40 divisors (see below), whose sum is σ = 24602592. Its totient is φ = 4533120.

The previous prime is 10806221. The next prime is 10806227. The reversal of 10806224 is 42260801.

It is an interprime number because it is at equal distance from previous prime (10806221) and next prime (10806227).

It is a self number, because there is not a number n which added to its sum of digits gives 10806224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806221) 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 7 ways as a sum of consecutive naturals, for example, 74 + ... + 4649.

Almost surely, 210806224 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 10806224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301296).

10806224 is an abundant number, since it is smaller than the sum of its proper divisors (13796368).

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

10806224 is a wasteful number, since it uses less digits than its factorization.

10806224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10806224 is about 3287.2821600830. The cubic root of 10806224 is about 221.0843436383.

The spelling of 10806224 in words is "ten million, eight hundred six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 4723 9446 18892 37784 51953 61399 75568 103906 122798 207812 245596 415624 491192 675389 831248 982384 1350778 2701556 5403112 10806224