Search a number
-
+
12430116 = 2232449769
BaseRepresentation
bin101111011010…
…101100100100
3212101111220200
4233122230210
511140230431
61122230500
7210440256
oct57325444
925344820
1012430116
11701aa26
1241b5430
1327629ca
141917cd6
151157ee6
hexbdab24

12430116 has 36 divisors (see below), whose sum is σ = 31531500. Its totient is φ = 4128768.

The previous prime is 12430091. The next prime is 12430127. The reversal of 12430116 is 61103421.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 6200100 = 2496^2 + 2490^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15780 + ... + 16548.

It is an arithmetic number, because the mean of its divisors is an integer number (875875).

Almost surely, 212430116 is an apocalyptic number.

It is an amenable number.

12430116 is an abundant number, since it is smaller than the sum of its proper divisors (19101384).

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

12430116 is a wasteful number, since it uses less digits than its factorization.

12430116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12430116 is about 3525.6369637273. The cubic root of 12430116 is about 231.6461361192.

Adding to 12430116 its reverse (61103421), we get a palindrome (73533537).

It can be divided in two parts, 12 and 430116, that added together give a triangular number (430128 = T927).

The spelling of 12430116 in words is "twelve million, four hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 449 769 898 1347 1538 1796 2307 2694 3076 4041 4614 5388 6921 8082 9228 13842 16164 27684 345281 690562 1035843 1381124 2071686 3107529 4143372 6215058 12430116