[go: up one dir, main page]

Search a number
-
+
10330112 = 2131397
BaseRepresentation
bin100111011010…
…000000000000
3201102211020202
4213122000000
510121030422
61005224332
7153542642
oct47320000
921384222
1010330112
115916191
1235620a8
1321a8bc0
14152c892
15d90b92
hex9da000

10330112 has 56 divisors (see below), whose sum is σ = 22477476. Its totient is φ = 4718592.

The previous prime is 10330093. The next prime is 10330123. The reversal of 10330112 is 21103301.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 495616 = 3136^2 + 704^2 .

It is a super-2 number, since 2×103301122 = 213422427865088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10330093 and 10330102.

It is an unprimeable number.

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, 106448 + ... + 106544.

Almost surely, 210330112 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 10330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238738).

10330112 is an abundant number, since it is smaller than the sum of its proper divisors (12147364).

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

10330112 is an frugal number, since it uses more digits than its factorization.

10330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10330112 is about 3214.0491595494. The cubic root of 10330112 is about 217.7885332587.

Adding to 10330112 its reverse (21103301), we get a palindrome (31433413).

The spelling of 10330112 in words is "ten million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 256 388 416 512 776 832 1024 1261 1552 1664 2048 2522 3104 3328 4096 5044 6208 6656 8192 10088 12416 13312 20176 24832 26624 40352 49664 53248 80704 99328 106496 161408 198656 322816 397312 645632 794624 1291264 2582528 5165056 10330112