Search a number
-
+
10494 = 2321153
BaseRepresentation
bin10100011111110
3112101200
42203332
5313434
6120330
742411
oct24376
915350
1010494
117980
1260a6
134a13
143b78
153199
hex28fe

10494 has 24 divisors (see below), whose sum is σ = 25272. Its totient is φ = 3120.

The previous prime is 10487. The next prime is 10499. The reversal of 10494 is 49401.

It is a super-2 number, since 2×104942 = 220248072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10499) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (1053).

210494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636).

10494 is an abundant number, since it is smaller than the sum of its proper divisors (14778).

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

10494 is a wasteful number, since it uses less digits than its factorization.

10494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10494 is about 102.4402264738. The cubic root of 10494 is about 21.8934239341.

Adding to 10494 its reverse (49401), we get a palindrome (59895).

The spelling of 10494 in words is "ten thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494