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13022730 = 2325722953
BaseRepresentation
bin110001101011…
…011000001010
3220111121211100
4301223120022
511313211410
61143042230
7215456100
oct61533012
926447740
1013022730
117395196
124440376
13290c676
141a2dc70
1512238c0
hexc6b60a

13022730 has 72 divisors (see below), whose sum is σ = 39400452. Its totient is φ = 2975616.

The previous prime is 13022729. The next prime is 13022741. The reversal of 13022730 is 3722031.

It can be written as a sum of positive squares in 2 ways, for example, as 12895281 + 127449 = 3591^2 + 357^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2934 + ... + 5886.

Almost surely, 213022730 is an apocalyptic number.

13022730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19700226).

13022730 is an abundant number, since it is smaller than the sum of its proper divisors (26377722).

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

13022730 is a wasteful number, since it uses less digits than its factorization.

13022730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13022730 is about 3608.7019827079. The cubic root of 13022730 is about 235.2704295883.

Adding to 13022730 its reverse (3722031), we get a palindrome (16744761).

The spelling of 13022730 in words is "thirteen million, twenty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 2953 4410 5906 8859 14765 17718 20671 26577 29530 41342 44295 53154 62013 88590 103355 124026 132885 144697 186039 206710 265770 289394 310065 372078 434091 620130 723485 868182 930195 1302273 1446970 1860390 2170455 2604546 4340910 6511365 13022730