Search a number
-
+
14126436 = 2232894409
BaseRepresentation
bin110101111000…
…110101100100
3222120200211100
4311320311210
512104021221
61222440100
7231033642
oct65706544
928520740
1014126436
117a79445
124893030
132c07b4c
141c3a192
151390926
hexd78d64

14126436 has 36 divisors (see below), whose sum is σ = 36117900. Its totient is φ = 4654848.

The previous prime is 14126419. The next prime is 14126459. The reversal of 14126436 is 63462141.

14126436 is a `hidden beast` number, since 1 + 4 + 12 + 643 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 12320100 = 1344^2 + 3510^2 .

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

It is a nude number because it is divisible by every one of its digits.

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, 1000 + ... + 5408.

It is an arithmetic number, because the mean of its divisors is an integer number (1003275).

Almost surely, 214126436 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 14126436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058950).

14126436 is an abundant number, since it is smaller than the sum of its proper divisors (21991464).

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

14126436 is a wasteful number, since it uses less digits than its factorization.

14126436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4503 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 14126436 is about 3758.5151323362. The cubic root of 14126436 is about 241.7375977813.

Adding to 14126436 its reverse (63462141), we get a palindrome (77588577).

The spelling of 14126436 in words is "fourteen million, one hundred twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 4409 8818 13227 17636 26454 39681 52908 79362 158724 392401 784802 1177203 1569604 2354406 3531609 4708812 7063218 14126436