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18271968 = 25311413
BaseRepresentation
bin100010110110…
…0111011100000
31021101022102120
41011230323200
514134200333
61451344240
7311211021
oct105547340
937338376
1018271968
11a350000
126152080
133a29a20
1425d8c48
15190ddb3
hex116cee0

18271968 has 120 divisors (see below), whose sum is σ = 56818440. Its totient is φ = 5111040.

The previous prime is 18271963. The next prime is 18272017. The reversal of 18271968 is 86917281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18271963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1405530 + ... + 1405542.

It is an arithmetic number, because the mean of its divisors is an integer number (473487).

Almost surely, 218271968 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 18271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28409220).

18271968 is an abundant number, since it is smaller than the sum of its proper divisors (38546472).

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

18271968 is an equidigital number, since it uses as much as digits as its factorization.

18271968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 18271968 is about 4274.5722593027. The cubic root of 18271968 is about 263.3874687968.

The spelling of 18271968 in words is "eighteen million, two hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1331 1452 1573 1716 1936 2288 2662 2904 3146 3432 3872 3993 4576 4719 5324 5808 6292 6864 7986 9438 10648 11616 12584 13728 14641 15972 17303 18876 21296 25168 29282 31944 34606 37752 42592 43923 50336 51909 58564 63888 69212 75504 87846 103818 117128 127776 138424 151008 175692 190333 207636 234256 276848 351384 380666 415272 468512 553696 570999 702768 761332 830544 1141998 1405536 1522664 1661088 2283996 3045328 4567992 6090656 9135984 18271968