Search a number
-
+
13283208 = 2332184489
BaseRepresentation
bin110010101010…
…111110001000
3220222212010200
4302222332020
511400030313
61152412200
7220622361
oct62527610
926885120
1013283208
117552964
124547060
1329a10b3
141a9ab68
151275b73
hexcaaf88

13283208 has 24 divisors (see below), whose sum is σ = 35975550. Its totient is φ = 4427712.

The previous prime is 13283203. The next prime is 13283209. The reversal of 13283208 is 80238231.

13283208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13264164 + 19044 = 3642^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×132832082 = 352887229542528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13283203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92173 + ... + 92316.

Almost surely, 213283208 is an apocalyptic number.

13283208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13283208 is an abundant number, since it is smaller than the sum of its proper divisors (22692342).

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

13283208 is a wasteful number, since it uses less digits than its factorization.

13283208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184501 (or 184494 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13283208 is about 3644.6135597619. The cubic root of 13283208 is about 236.8286963793.

The spelling of 13283208 in words is "thirteen million, two hundred eighty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 184489 368978 553467 737956 1106934 1475912 1660401 2213868 3320802 4427736 6641604 13283208