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10103296 = 2972819
BaseRepresentation
bin100110100010…
…101000000000
3201000022010011
4212202220000
510041301141
61000314304
7151606450
oct46425000
921008104
1010103296
115780835
123472994
1321298a8
1414add60
15d48881
hex9a2a00

10103296 has 40 divisors (see below), whose sum is σ = 23078880. Its totient is φ = 4328448.

The previous prime is 10103293. The next prime is 10103309. The reversal of 10103296 is 69230101.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10103293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2175 + ... + 4993.

It is an arithmetic number, because the mean of its divisors is an integer number (576972).

Almost surely, 210103296 is an apocalyptic number.

10103296 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 10103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539440).

10103296 is an abundant number, since it is smaller than the sum of its proper divisors (12975584).

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

10103296 is an frugal number, since it uses more digits than its factorization.

10103296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 10103296 is about 3178.5682311380. The cubic root of 10103296 is about 216.1827442960.

Adding to 10103296 its reverse (69230101), we get a palindrome (79333397).

The spelling of 10103296 in words is "ten million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 2819 3584 5638 11276 19733 22552 39466 45104 78932 90208 157864 180416 315728 360832 631456 721664 1262912 1443328 2525824 5051648 10103296