Search a number
-
+
12413024 = 251353563
BaseRepresentation
bin101111010110…
…100001100000
3212100122110122
4233112201200
511134204044
61122015412
7210336401
oct57264140
925318418
1012413024
1170090a8
1241a7568
132757cb0
1419119a8
151152dee
hexbd6860

12413024 has 48 divisors (see below), whose sum is σ = 26862192. Its totient is φ = 5611008.

The previous prime is 12413021. The next prime is 12413039. The reversal of 12413024 is 42031421.

It is a junction number, because it is equal to n+sod(n) for n = 12412993 and 12413011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21767 + ... + 22329.

It is an arithmetic number, because the mean of its divisors is an integer number (559629).

Almost surely, 212413024 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 12413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431096).

12413024 is an abundant number, since it is smaller than the sum of its proper divisors (14449168).

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

12413024 is a wasteful number, since it uses less digits than its factorization.

12413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 12413024 is about 3523.2121707328. The cubic root of 12413024 is about 231.5399126030.

Adding to 12413024 its reverse (42031421), we get a palindrome (54444445).

The spelling of 12413024 in words is "twelve million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 563 689 848 1126 1378 1696 2252 2756 4504 5512 7319 9008 11024 14638 18016 22048 29276 29839 58552 59678 117104 119356 234208 238712 387907 477424 775814 954848 1551628 3103256 6206512 12413024