Search a number
-
+
13022416 = 2411233217
BaseRepresentation
bin110001101011…
…010011010000
3220111121101201
4301223103100
511313204131
61143040544
7215455141
oct61532320
926447351
1013022416
117394a30
124440154
13290c494
141a2dac8
151223761
hexc6b4d0

13022416 has 40 divisors (see below), whose sum is σ = 28730304. Its totient is φ = 5660160.

The previous prime is 13022413. The next prime is 13022417. The reversal of 13022416 is 61422031.

It is a junction number, because it is equal to n+sod(n) for n = 13022393 and 13022402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022413) 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 7 ways as a sum of consecutive naturals, for example, 2440 + ... + 5656.

Almost surely, 213022416 is an apocalyptic number.

13022416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365152).

13022416 is an abundant number, since it is smaller than the sum of its proper divisors (15707888).

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

13022416 is a wasteful number, since it uses less digits than its factorization.

13022416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13022416 is about 3608.6584764979. The cubic root of 13022416 is about 235.2685386508.

Adding to 13022416 its reverse (61422031), we get a palindrome (74444447).

The spelling of 13022416 in words is "thirteen million, twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 3217 4048 6434 12868 25736 35387 51472 70774 73991 141548 147982 283096 295964 566192 591928 813901 1183856 1627802 3255604 6511208 13022416