Search a number
-
+
13022828 = 22721319269
BaseRepresentation
bin110001101011…
…011001101100
3220111121221222
4301223121230
511313212303
61143042512
7215456300
oct61533154
926447858
1013022828
117395275
124440438
13290c720
141a2dd00
151223938
hexc6b66c

13022828 has 72 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 4862592.

The previous prime is 13022803. The next prime is 13022831. The reversal of 13022828 is 82822031.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 13022797 and 13022806.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48278 + ... + 48546.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 213022828 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 13022828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

13022828 is an abundant number, since it is smaller than the sum of its proper divisors (17141572).

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

13022828 is a wasteful number, since it uses less digits than its factorization.

13022828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13022828 is about 3608.7155609718. The cubic root of 13022828 is about 235.2710197473.

Adding to 13022828 its reverse (82822031), we get a palindrome (95844859).

The spelling of 13022828 in words is "thirteen million, twenty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 269 364 494 532 538 637 931 988 1076 1274 1729 1862 1883 2548 3458 3497 3724 3766 5111 6916 6994 7532 10222 12103 13181 13988 20444 24206 24479 26362 35777 48412 48958 52724 66443 71554 97916 132886 143108 171353 250439 265772 342706 465101 500878 685412 930202 1001756 1860404 3255707 6511414 13022828