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10496 = 2841
BaseRepresentation
bin10100100000000
3112101202
42210000
5313441
6120332
742413
oct24400
915352
1010496
117982
1260a8
134a15
143b7a
15319b
hex2900

10496 has 18 divisors (see below), whose sum is σ = 21462. Its totient is φ = 5120.

The previous prime is 10487. The next prime is 10499. The reversal of 10496 is 69401.

Adding to 10496 its reverse (69401), we get a palindrome (79897).

It can be written as a sum of positive squares in only one way, i.e., 6400 + 4096 = 80^2 + 64^2 .

It is a super-2 number, since 2×104962 = 220332032, which contains 22 as substring.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10499) by changing a digit.

10496 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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 236 + ... + 276.

210496 is an apocalyptic number.

10496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10731).

10496 is an abundant number, since it is smaller than the sum of its proper divisors (10966).

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

10496 is an frugal number, since it uses more digits than its factorization.

10496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10496 is about 102.4499877989. The cubic root of 10496 is about 21.8948146992.

The spelling of 10496 in words is "ten thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 10496