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13327380 = 223251153127
BaseRepresentation
bin110010110101…
…110000010100
3221002002201200
4302311300110
511402434010
61153352500
7221165223
oct62656024
927062650
1013327380
117583070
124568730
1329b8231
141aaccba
151283cc0
hexcb5c14

13327380 has 144 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 3144960.

The previous prime is 13327361. The next prime is 13327381. The reversal of 13327380 is 8372331.

13327380 = 4652 + 4662 + ... + 5192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13327381) 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 47 ways as a sum of consecutive naturals, for example, 104877 + ... + 105003.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 213327380 is an apocalyptic number.

13327380 is a gapful number since it is divisible by the number (10) 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 13327380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

13327380 is an abundant number, since it is smaller than the sum of its proper divisors (31960044).

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

13327380 is a wasteful number, since it uses less digits than its factorization.

13327380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13327380 is about 3650.6684319450. The cubic root of 13327380 is about 237.0909227596.

The spelling of 13327380 in words is "thirteen million, three hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 127 132 159 165 180 198 212 220 254 265 318 330 381 396 477 495 508 530 583 635 636 660 762 795 954 990 1060 1143 1166 1270 1397 1524 1590 1749 1905 1908 1980 2286 2332 2385 2540 2794 2915 3180 3498 3810 4191 4572 4770 5247 5588 5715 5830 6731 6985 6996 7620 8382 8745 9540 10494 11430 11660 12573 13462 13970 16764 17490 20193 20955 20988 22860 25146 26235 26924 27940 33655 34980 40386 41910 50292 52470 60579 62865 67310 74041 80772 83820 100965 104940 121158 125730 134620 148082 201930 222123 242316 251460 296164 302895 370205 403860 444246 605790 666369 740410 888492 1110615 1211580 1332738 1480820 2221230 2665476 3331845 4442460 6663690 13327380