Search a number
-
+
13229316 = 2232894129
BaseRepresentation
bin110010011101…
…110100000100
3220220010012200
4302131310010
511341314231
61151314500
7220306302
oct62356404
926803180
1013229316
117516421
12451ba30
1329826c9
141a85272
151264be6
hexc9dd04

13229316 has 36 divisors (see below), whose sum is σ = 33824700. Its totient is φ = 4359168.

The previous prime is 13229311. The next prime is 13229323. The reversal of 13229316 is 61392231.

It can be written as a sum of positive squares in 2 ways, for example, as 4796100 + 8433216 = 2190^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13229316.

It is not an unprimeable number, because it can be changed into a prime (13229311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (939575).

Almost surely, 213229316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13229316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912350).

13229316 is an abundant number, since it is smaller than the sum of its proper divisors (20595384).

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

13229316 is a wasteful number, since it uses less digits than its factorization.

13229316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4223 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13229316 is about 3637.2126690640. The cubic root of 13229316 is about 236.5079788782.

The spelling of 13229316 in words is "thirteen million, two hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 4129 8258 12387 16516 24774 37161 49548 74322 148644 367481 734962 1102443 1469924 2204886 3307329 4409772 6614658 13229316