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10304096 = 251173401
BaseRepresentation
bin100111010011…
…101001100000
3201101111120012
4213103221200
510114212341
61004504052
7153404045
oct47235140
921344505
1010304096
1158a8690
12354b028
13219a0ca
1415231cc
15d880eb
hex9d3a60

10304096 has 48 divisors (see below), whose sum is σ = 22489488. Its totient is φ = 4608000.

The previous prime is 10304083. The next prime is 10304111. The reversal of 10304096 is 69040301.

It is a congruent number.

It is an unprimeable number.

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, 25496 + ... + 25896.

It is an arithmetic number, because the mean of its divisors is an integer number (468531).

Almost surely, 210304096 is an apocalyptic number.

10304096 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 10304096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244744).

10304096 is an abundant number, since it is smaller than the sum of its proper divisors (12185392).

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

10304096 is a wasteful number, since it uses less digits than its factorization.

10304096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 10304096 is about 3209.9993769470. Note that the first 3 decimals coincide. The cubic root of 10304096 is about 217.6055488060.

Adding to 10304096 its reverse (69040301), we get a palindrome (79344397).

The spelling of 10304096 in words is "ten million, three hundred four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 401 584 802 803 1168 1604 1606 2336 3208 3212 4411 6416 6424 8822 12832 12848 17644 25696 29273 35288 58546 70576 117092 141152 234184 322003 468368 644006 936736 1288012 2576024 5152048 10304096