Search a number
-
+
13366122 = 2372114133
BaseRepresentation
bin110010111111…
…001101101010
3221011001212120
4302333031222
511410203442
61154252110
7221416200
oct62771552
927131776
1013366122
1175aa190
124587036
1329cca63
141abd070
1512904ec
hexcbf36a

13366122 has 48 divisors (see below), whose sum is σ = 33931872. Its totient is φ = 3470880.

The previous prime is 13366121. The next prime is 13366127. The reversal of 13366122 is 22166331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13366092 and 13366101.

It is not an unprimeable number, because it can be changed into a prime (13366121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168 + ... + 5300.

It is an arithmetic number, because the mean of its divisors is an integer number (706914).

Almost surely, 213366122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13366122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16965936).

13366122 is an abundant number, since it is smaller than the sum of its proper divisors (20565750).

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

13366122 is a wasteful number, since it uses less digits than its factorization.

13366122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4156 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 13366122 is about 3655.9707329244. The cubic root of 13366122 is about 237.3204374980.

The spelling of 13366122 in words is "thirteen million, three hundred sixty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 4133 8266 12399 24798 28931 45463 57862 86793 90926 136389 173586 202517 272778 318241 405034 607551 636482 954723 1215102 1909446 2227687 4455374 6683061 13366122