Search a number
-
+
16311424 = 27192353
BaseRepresentation
bin111110001110…
…010010000000
31010200201001211
4332032102000
513133431144
61341335504
7255434113
oct76162200
933621054
1016311424
119231018
125567594
1334c153c
14224857a
151673034
hexf8e480

16311424 has 48 divisors (see below), whose sum is σ = 34392870. Its totient is φ = 7704576.

The previous prime is 16311419. The next prime is 16311467. The reversal of 16311424 is 42411361.

It can be written as a sum of positive squares in only one way, i.e., 14440000 + 1871424 = 3800^2 + 1368^2 .

It is a super-3 number, since 3×163114243 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16311395 and 16311404.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46032 + ... + 46384.

Almost surely, 216311424 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 16311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196435).

16311424 is an abundant number, since it is smaller than the sum of its proper divisors (18081446).

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

16311424 is an equidigital number, since it uses as much as digits as its factorization.

16311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 374 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 16311424 is about 4038.7403976983. The cubic root of 16311424 is about 253.6085897040.

Adding to 16311424 its reverse (42411361), we get a palindrome (58722785).

The spelling of 16311424 in words is "sixteen million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 353 361 608 706 722 1216 1412 1444 2432 2824 2888 5648 5776 6707 11296 11552 13414 22592 23104 26828 45184 46208 53656 107312 127433 214624 254866 429248 509732 858496 1019464 2038928 4077856 8155712 16311424