Search a number
-
+
13083363 = 36131137
BaseRepresentation
bin110001111010…
…001011100011
3220121201000000
4301322023203
511322131423
61144231043
7216130626
oct61721343
926551000
1013083363
1174267a7
12446b483
132931147
141a47dbd
151236843
hexc7a2e3

13083363 has 28 divisors (see below), whose sum is σ = 19910088. Its totient is φ = 8592480.

The previous prime is 13083349. The next prime is 13083391. The reversal of 13083363 is 36338031.

It is not a de Polignac number, because 13083363 - 24 = 13083347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13083313) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 95431 + ... + 95567.

Almost surely, 213083363 is an apocalyptic number.

13083363 is a deficient number, since it is larger than the sum of its proper divisors (6826725).

13083363 is an equidigital number, since it uses as much as digits as its factorization.

13083363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 13083363 is about 3617.0931699363. The cubic root of 13083363 is about 235.6349990714.

The spelling of 13083363 in words is "thirteen million, eighty-three thousand, three hundred sixty-three".

Divisors: 1 3 9 27 81 131 137 243 393 411 729 1179 1233 3537 3699 10611 11097 17947 31833 33291 53841 95499 99873 161523 484569 1453707 4361121 13083363