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13022048 = 2513231361
BaseRepresentation
bin110001101011…
…001101100000
3220111120220002
4301223031200
511313201143
61143035132
7215454104
oct61531540
926446802
1013022048
117394726
12443baa8
13290c270
141a2d904
1512235b8
hexc6b360

13022048 has 48 divisors (see below), whose sum is σ = 28830816. Its totient is φ = 5744640.

The previous prime is 13022041. The next prime is 13022059. The reversal of 13022048 is 84022031.

It is a super-2 number, since 2×130220482 = 339147468228608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022041) 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, 8888 + ... + 10248.

It is an arithmetic number, because the mean of its divisors is an integer number (600642).

Almost surely, 213022048 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 13022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415408).

13022048 is an abundant number, since it is smaller than the sum of its proper divisors (15808768).

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

13022048 is a wasteful number, since it uses less digits than its factorization.

13022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13022048 is about 3608.6074876606. The cubic root of 13022048 is about 235.2663224814.

Adding to 13022048 its reverse (84022031), we get a palindrome (97044079).

The spelling of 13022048 in words is "thirteen million, twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 1361 2392 2722 4784 5444 9568 10888 17693 21776 31303 35386 43552 62606 70772 125212 141544 250424 283088 406939 500848 566176 813878 1001696 1627756 3255512 6511024 13022048