Search a number
-
+
18726768 = 243367647
BaseRepresentation
bin100011101101…
…1111101110000
31022020102022000
41013123331300
514243224033
61505214000
7315113664
oct107337560
938212260
1018726768
11a630775
126331300
133b58a38
1426b68a4
15199da13
hex11dbf70

18726768 has 80 divisors (see below), whose sum is σ = 54639360. Its totient is φ = 6139584.

The previous prime is 18726749. The next prime is 18726781. The reversal of 18726768 is 86762781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28621 + ... + 29267.

It is an arithmetic number, because the mean of its divisors is an integer number (682992).

Almost surely, 218726768 is an apocalyptic number.

18726768 is a gapful number since it is divisible by the number (18) 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 18726768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319680).

18726768 is an abundant number, since it is smaller than the sum of its proper divisors (35912592).

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

18726768 is a wasteful number, since it uses less digits than its factorization.

18726768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 18726768 is about 4327.4435871540. The cubic root of 18726768 is about 265.5548739079.

The spelling of 18726768 in words is "eighteen million, seven hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 647 804 1072 1206 1294 1608 1809 1941 2412 2588 3216 3618 3882 4824 5176 5823 7236 7764 9648 10352 11646 14472 15528 17469 23292 28944 31056 34938 43349 46584 69876 86698 93168 130047 139752 173396 260094 279504 346792 390141 520188 693584 780282 1040376 1170423 1560564 2080752 2340846 3121128 4681692 6242256 9363384 18726768