[go: up one dir, main page]

Search a number
-
+
12433616 = 2413232113
BaseRepresentation
bin101111011011…
…100011010000
3212101200201022
4233123203100
511140333431
61122255012
7210453416
oct57334320
925350638
1012433616
117022618
1241b7468
132764490
1419192b6
15115907b
hexbdb8d0

12433616 has 60 divisors (see below), whose sum is σ = 27360228. Its totient is φ = 5440512.

The previous prime is 12433609. The next prime is 12433627. The reversal of 12433616 is 61633421.

It can be written as a sum of positive squares in 2 ways, for example, as 846400 + 11587216 = 920^2 + 3404^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 11 ways as a sum of consecutive naturals, for example, 109976 + ... + 110088.

Almost surely, 212433616 is an apocalyptic number.

12433616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12433616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680114).

12433616 is an abundant number, since it is smaller than the sum of its proper divisors (14926612).

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

12433616 is a wasteful number, since it uses less digits than its factorization.

12433616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 12433616 is about 3526.1332929996. The cubic root of 12433616 is about 231.6678759375.

The spelling of 12433616 in words is "twelve million, four hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 113 184 208 226 299 368 452 529 598 904 1058 1196 1469 1808 2116 2392 2599 2938 4232 4784 5198 5876 6877 8464 10396 11752 13754 20792 23504 27508 33787 41584 55016 59777 67574 110032 119554 135148 239108 270296 478216 540592 777101 956432 1554202 3108404 6216808 12433616