Search a number
-
+
10430496 = 253236217
BaseRepresentation
bin100111110010…
…100000100000
3201121220221200
4213302200200
510132233441
61011321200
7154441416
oct47624040
921556850
1010430496
11598464a
1235b0200
1322127bb
1415572b6
15db07b6
hex9f2820

10430496 has 36 divisors (see below), whose sum is σ = 29662542. Its totient is φ = 3476736.

The previous prime is 10430491. The next prime is 10430513. The reversal of 10430496 is 69403401.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 318096 = 3180^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10430491) 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, 17821 + ... + 18396.

Almost surely, 210430496 is an apocalyptic number.

10430496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10430496 is an abundant number, since it is smaller than the sum of its proper divisors (19232046).

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

10430496 is a wasteful number, since it uses less digits than its factorization.

10430496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36233 (or 36222 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10430496 is about 3229.6278423373. The cubic root of 10430496 is about 218.4917217285.

Adding to 10430496 its reverse (69403401), we get a palindrome (79833897).

The spelling of 10430496 in words is "ten million, four hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36217 72434 108651 144868 217302 289736 325953 434604 579472 651906 869208 1158944 1303812 1738416 2607624 3476832 5215248 10430496