Search a number
-
+
16312005 = 3253797101
BaseRepresentation
bin111110001110…
…011011000101
31010200201212100
4332032123011
513133441010
61341342313
7255435603
oct76163305
933621770
1016312005
1192314a6
125567999
1334c1898
142248873
1516732c0
hexf8e6c5

16312005 has 48 divisors (see below), whose sum is σ = 29628144. Its totient is φ = 8294400.

The previous prime is 16312003. The next prime is 16312019. The reversal of 16312005 is 50021361.

It can be written as a sum of positive squares in 8 ways, for example, as 2762244 + 13549761 = 1662^2 + 3681^2 .

It is not a de Polignac number, because 16312005 - 21 = 16312003 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16312001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161455 + ... + 161555.

It is an arithmetic number, because the mean of its divisors is an integer number (617253).

Almost surely, 216312005 is an apocalyptic number.

16312005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16312005 is a deficient number, since it is larger than the sum of its proper divisors (13316139).

16312005 is a wasteful number, since it uses less digits than its factorization.

16312005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 16312005 is about 4038.8123254244. The cubic root of 16312005 is about 253.6116007806.

Adding to 16312005 its reverse (50021361), we get a palindrome (66333366).

The spelling of 16312005 in words is "sixteen million, three hundred twelve thousand, five".

Divisors: 1 3 5 9 15 37 45 97 101 111 185 291 303 333 485 505 555 873 909 1455 1515 1665 3589 3737 4365 4545 9797 10767 11211 17945 18685 29391 32301 33633 48985 53835 56055 88173 146955 161505 168165 362489 440865 1087467 1812445 3262401 5437335 16312005