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10809024 = 263192963
BaseRepresentation
bin101001001110…
…111011000000
3202100011012020
4221032323000
510231342044
61023401440
7160606122
oct51167300
922304166
1010809024
116112a86
123753280
132315b95
141615212
15e37a19
hexa4eec0

10809024 has 56 divisors (see below), whose sum is σ = 30114240. Its totient is φ = 3412224.

The previous prime is 10809023. The next prime is 10809031. The reversal of 10809024 is 42090801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10808985 and 10809003.

It is not an unprimeable number, because it can be changed into a prime (10809023) 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, 2167 + ... + 5129.

Almost surely, 210809024 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 10809024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057120).

10809024 is an abundant number, since it is smaller than the sum of its proper divisors (19305216).

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

10809024 is a wasteful number, since it uses less digits than its factorization.

10809024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10809024 is about 3287.7080162326. The cubic root of 10809024 is about 221.1034370393.

Adding to 10809024 its reverse (42090801), we get a palindrome (52899825).

The spelling of 10809024 in words is "ten million, eight hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 2963 3648 5926 8889 11852 17778 23704 35556 47408 56297 71112 94816 112594 142224 168891 189632 225188 284448 337782 450376 568896 675564 900752 1351128 1801504 2702256 3603008 5404512 10809024