Search a number
-
+
11808990 = 234561239
BaseRepresentation
bin101101000011…
…000011011110
3211012221220000
4231003003132
511010341430
61101035130
7202242354
oct55030336
924187800
1011808990
1167362a6
123b55aa6
1325a608b
1417d57d4
151083e60
hexb430de

11808990 has 80 divisors (see below), whose sum is σ = 32408640. Its totient is φ = 3084480.

The previous prime is 11808977. The next prime is 11808997. The reversal of 11808990 is 9980811.

11808990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11808997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49291 + ... + 49529.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 211808990 is an apocalyptic number.

11808990 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 11808990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204320).

11808990 is an abundant number, since it is smaller than the sum of its proper divisors (20599650).

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

11808990 is a wasteful number, since it uses less digits than its factorization.

11808990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 11808990 is about 3436.4211034156. The cubic root of 11808990 is about 227.7216131380.

The spelling of 11808990 in words is "eleven million, eight hundred eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 239 270 305 366 405 478 549 610 717 810 915 1098 1195 1434 1647 1830 2151 2390 2745 3294 3585 4302 4941 5490 6453 7170 8235 9882 10755 12906 14579 16470 19359 21510 24705 29158 32265 38718 43737 49410 64530 72895 87474 96795 131211 145790 193590 218685 262422 393633 437370 656055 787266 1180899 1312110 1968165 2361798 3936330 5904495 11808990