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10304512 = 21029347
BaseRepresentation
bin100111010011…
…110000000000
3201101112010121
4213103300000
510114221022
61004510024
7153405211
oct47236000
921345117
1010304512
1158a8a29
12354b314
13219a35a
141523408
15d882c7
hex9d3c00

10304512 has 44 divisors (see below), whose sum is σ = 21370680. Its totient is φ = 4960256.

The previous prime is 10304507. The next prime is 10304513. The reversal of 10304512 is 21540301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29523 + ... + 29869.

Almost surely, 210304512 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 10304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10685340).

10304512 is an abundant number, since it is smaller than the sum of its proper divisors (11066168).

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

10304512 is an equidigital number, since it uses as much as digits as its factorization.

10304512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10304512 is about 3210.0641738134. The cubic root of 10304512 is about 217.6084771784.

Adding to 10304512 its reverse (21540301), we get a palindrome (31844813).

It can be divided in two parts, 10304 and 512, that added together give a square (10816 = 1042).

The spelling of 10304512 in words is "ten million, three hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 347 464 512 694 928 1024 1388 1856 2776 3712 5552 7424 10063 11104 14848 20126 22208 29696 40252 44416 80504 88832 161008 177664 322016 355328 644032 1288064 2576128 5152256 10304512