Search a number
-
+
10492729 = 131495417
BaseRepresentation
bin101000000001…
…101100111001
3201202002022121
4220001230321
510141231404
61012521241
7155121022
oct50015471
921662277
1010492729
115a17385
123620221
132234c20
141571c49
15dc3e54
hexa01b39

10492729 has 8 divisors (see below), whose sum is σ = 11377800. Its totient is φ = 9618816.

The previous prime is 10492717. The next prime is 10492747. The reversal of 10492729 is 92729401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 739600 + 9753129 = 860^2 + 3123^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10492729 - 25 = 10492697 is a prime.

It is a super-2 number, since 2×104927292 = 220194723734882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10492694 and 10492703.

It is not an unprimeable number, because it can be changed into a prime (10492759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772 + ... + 4645.

It is an arithmetic number, because the mean of its divisors is an integer number (1422225).

Almost surely, 210492729 is an apocalyptic number.

It is an amenable number.

10492729 is a deficient number, since it is larger than the sum of its proper divisors (885071).

10492729 is a wasteful number, since it uses less digits than its factorization.

10492729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 10492729 is about 3239.2482152500. The cubic root of 10492729 is about 218.9254001106.

The spelling of 10492729 in words is "ten million, four hundred ninety-two thousand, seven hundred twenty-nine".

Divisors: 1 13 149 1937 5417 70421 807133 10492729