Search a number
-
+
10424024 = 2313113887
BaseRepresentation
bin100111110000…
…111011011000
3201121121001222
4213300323120
510132032044
61011231212
7154413512
oct47607330
921547058
1010424024
11597a7a6
1235a8508
13220c880
141554bb2
15dad8ee
hex9f0ed8

10424024 has 32 divisors (see below), whose sum is σ = 21258720. Its totient is φ = 4763136.

The previous prime is 10423999. The next prime is 10424039. The reversal of 10424024 is 42042401.

It is a junction number, because it is equal to n+sod(n) for n = 10423993 and 10424011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11309 + ... + 12195.

It is an arithmetic number, because the mean of its divisors is an integer number (664335).

Almost surely, 210424024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629360).

10424024 is an abundant number, since it is smaller than the sum of its proper divisors (10834696).

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

10424024 is a wasteful number, since it uses less digits than its factorization.

10424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 10424024 is about 3228.6257138293. The cubic root of 10424024 is about 218.4465218647.

Adding to 10424024 its reverse (42042401), we get a palindrome (52466425).

The spelling of 10424024 in words is "ten million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 887 904 1469 1774 2938 3548 5876 7096 11531 11752 23062 46124 92248 100231 200462 400924 801848 1303003 2606006 5212012 10424024