Search a number
-
+
10124676 = 223431249
BaseRepresentation
bin100110100111…
…110110000100
3201001101110000
4212213312010
510042442201
61001001300
7152026002
oct46476604
921041400
1010124676
115795901
123483230
132136543
1414b7a72
15d4ed86
hex9a7d84

10124676 has 30 divisors (see below), whose sum is σ = 26468750. Its totient is φ = 3374784.

The previous prime is 10124641. The next prime is 10124677. The reversal of 10124676 is 67642101.

10124676 is digitally balanced in base 2, because in such base 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., 9144576 + 980100 = 3024^2 + 990^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124677) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15301 + ... + 15948.

Almost surely, 210124676 is an apocalyptic number.

It is an amenable number.

10124676 is an abundant number, since it is smaller than the sum of its proper divisors (16344074).

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

10124676 is a wasteful number, since it uses less digits than its factorization.

10124676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31265 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10124676 is about 3181.9296032439. The cubic root of 10124676 is about 216.3351279222.

Adding to 10124676 its reverse (67642101), we get a palindrome (77766777).

The spelling of 10124676 in words is "ten million, one hundred twenty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 31249 62498 93747 124996 187494 281241 374988 562482 843723 1124964 1687446 2531169 3374892 5062338 10124676