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10896 = 243227
BaseRepresentation
bin10101010010000
3112221120
42222100
5322041
6122240
743524
oct25220
915846
1010896
118206
126380
134c62
143d84
153366
hex2a90

10896 has 20 divisors (see below), whose sum is σ = 28272. Its totient is φ = 3616.

The previous prime is 10891. The next prime is 10903. The reversal of 10896 is 69801.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 4.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10891) by changing a digit.

10896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66 + ... + 161.

10896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10896 is an abundant number, since it is smaller than the sum of its proper divisors (17376).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136).

10896 is a wasteful number, since it uses less digits than its factorization.

10896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10896 is about 104.3839068056. The cubic root of 10896 is about 22.1694897818.

10896 divided by its sum of digits (24) gives a palindrome (454).

The spelling of 10896 in words is "ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 681 908 1362 1816 2724 3632 5448 10896