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10324224 = 28324481
BaseRepresentation
bin100111011000…
…100100000000
3201102112011200
4213120210000
510120333344
61005141200
7153516531
oct47304400
921375150
1010324224
115911819
12355a800
1321a6311
14152a688
15d8e069
hex9d8900

10324224 has 54 divisors (see below), whose sum is σ = 29773926. Its totient is φ = 3440640.

The previous prime is 10324207. The next prime is 10324229. The reversal of 10324224 is 42242301.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 589824 = 3120^2 + 768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10324197 and 10324206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64 + ... + 4544.

It is an arithmetic number, because the mean of its divisors is an integer number (551369).

Almost surely, 210324224 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 10324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886963).

10324224 is an abundant number, since it is smaller than the sum of its proper divisors (19449702).

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

10324224 is an equidigital number, since it uses as much as digits as its factorization.

10324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10324224 is about 3213.1330504665. The cubic root of 10324224 is about 217.7471467246.

Adding to 10324224 its reverse (42242301), we get a palindrome (52566525).

The spelling of 10324224 in words is "ten million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4481 8962 13443 17924 26886 35848 40329 53772 71696 80658 107544 143392 161316 215088 286784 322632 430176 573568 645264 860352 1147136 1290528 1720704 2581056 3441408 5162112 10324224