Search a number
-
+
10824331 = 74213673
BaseRepresentation
bin101001010010…
…101010001011
3202100221012011
4221102222023
510232334311
61024000351
7161001550
oct51225213
922327164
1010824331
116123531
1237600b7
13231cb3b
14161aa27
15e3c321
hexa52a8b

10824331 has 8 divisors (see below), whose sum is σ = 12403424. Its totient is φ = 9253440.

The previous prime is 10824311. The next prime is 10824353. The reversal of 10824331 is 13342801.

10824331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10824331 - 221 = 8727179 is a prime.

It is a super-2 number, since 2×108243312 = 234332283195122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10824311) by changing a digit.

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, 1111 + ... + 4783.

It is an arithmetic number, because the mean of its divisors is an integer number (1550428).

Almost surely, 210824331 is an apocalyptic number.

10824331 is a deficient number, since it is larger than the sum of its proper divisors (1579093).

10824331 is an equidigital number, since it uses as much as digits as its factorization.

10824331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10824331 is about 3290.0351061957. The cubic root of 10824331 is about 221.2077583288.

It can be divided in two parts, 108243 and 31, that multiplied together give a palindrome (3355533).

The spelling of 10824331 in words is "ten million, eight hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 7 421 2947 3673 25711 1546333 10824331