Search a number
-
+
10024137 = 321113793
BaseRepresentation
bin100110001111…
…010011001001
3200212021112100
4212033103021
510031233022
6554504013
7151126614
oct46172311
920767470
1010024137
115727312
123435009
1320cc856
14148d17b
15d301ac
hex98f4c9

10024137 has 6 divisors (see below), whose sum is σ = 14479322. Its totient is φ = 6682752.

The previous prime is 10024127. The next prime is 10024163. The reversal of 10024137 is 73142001.

10024137 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6245001 + 3779136 = 2499^2 + 1944^2 .

It is not a de Polignac number, because 10024137 - 24 = 10024121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10024127) 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, 556888 + ... + 556905.

Almost surely, 210024137 is an apocalyptic number.

It is an amenable number.

10024137 is a deficient number, since it is larger than the sum of its proper divisors (4455185).

10024137 is a wasteful number, since it uses less digits than its factorization.

10024137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113799 (or 1113796 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10024137 is about 3166.0917548296. The cubic root of 10024137 is about 215.6166683611.

Adding to 10024137 its reverse (73142001), we get a palindrome (83166138).

The spelling of 10024137 in words is "ten million, twenty-four thousand, one hundred thirty-seven".

Divisors: 1 3 9 1113793 3341379 10024137