Search a number
-
+
12199005 = 345713331
BaseRepresentation
bin101110100010…
…010001011101
3211221202220000
4232202101131
511110332010
61113244513
7205455420
oct56422135
924852800
1012199005
116982325
124103739
1326b1760
1418979b7
15110e7c0
hexba245d

12199005 has 80 divisors (see below), whose sum is σ = 26995584. Its totient is φ = 5132160.

The previous prime is 12199001. The next prime is 12199021. The reversal of 12199005 is 50099121.

It is a happy number.

12199005 is nontrivially palindromic in base 2.

12199005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12199005 - 22 = 12199001 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12199005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12199001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36690 + ... + 37020.

Almost surely, 212199005 is an apocalyptic number.

12199005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12199005 is an abundant number, since it is smaller than the sum of its proper divisors (14796579).

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

12199005 is a wasteful number, since it uses less digits than its factorization.

12199005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 12199005 is about 3492.7074025747. The cubic root of 12199005 is about 230.2014932460.

The spelling of 12199005 in words is "twelve million, one hundred ninety-nine thousand, five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 331 351 405 455 567 585 819 945 993 1053 1365 1655 1755 2317 2457 2835 2979 4095 4303 4965 5265 6951 7371 8937 11585 12285 12909 14895 20853 21515 26811 30121 34755 36855 38727 44685 62559 64545 90363 104265 116181 134055 150605 187677 193635 271089 312795 348543 451815 580905 813267 938385 1355445 1742715 2439801 4066335 12199005