Search a number
-
+
16142336 = 2127563
BaseRepresentation
bin111101100101…
…000000000000
31010101010010022
4331211000000
513113023321
61333553012
7254131130
oct75450000
933333108
1016142336
119125a81
1254a5768
1334625a2
142202ac0
15163cdab
hexf65000

16142336 has 52 divisors (see below), whose sum is σ = 36957792. Its totient is φ = 6905856.

The previous prime is 16142311. The next prime is 16142339. The reversal of 16142336 is 63324161.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16142339) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28391 + ... + 28953.

Almost surely, 216142336 is an apocalyptic number.

16142336 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 16142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478896).

16142336 is an abundant number, since it is smaller than the sum of its proper divisors (20815456).

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

16142336 is an frugal number, since it uses more digits than its factorization.

16142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 572 counting only the distinct ones).

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

The square root of 16142336 is about 4017.7526056242. The cubic root of 16142336 is about 252.7292222945.

Adding to 16142336 its reverse (63324161), we get a palindrome (79466497).

The spelling of 16142336 in words is "sixteen million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 563 896 1024 1126 1792 2048 2252 3584 3941 4096 4504 7168 7882 9008 14336 15764 18016 28672 31528 36032 63056 72064 126112 144128 252224 288256 504448 576512 1008896 1153024 2017792 2306048 4035584 8071168 16142336