[go: up one dir, main page]

Search a number
-
+
12109878 = 23311192937
BaseRepresentation
bin101110001100…
…100000110110
3211210020122000
4232030200312
511100004003
61111320130
7204634524
oct56144066
924706560
1012109878
116921370
124080046
132680011
141873314
1510e31a3
hexb8c836

12109878 has 128 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 3265920.

The previous prime is 12109873. The next prime is 12109901. The reversal of 12109878 is 87890121.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12109873) 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 63 ways as a sum of consecutive naturals, for example, 327276 + ... + 327312.

It is an arithmetic number, because the mean of its divisors is an integer number (256500).

Almost surely, 212109878 is an apocalyptic number.

12109878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12109878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).

12109878 is an abundant number, since it is smaller than the sum of its proper divisors (20722122).

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

12109878 is a wasteful number, since it uses less digits than its factorization.

12109878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 12109878 is about 3479.9249991918. The cubic root of 12109878 is about 229.6394982572.

Adding to 12109878 its reverse (87890121), we get a palindrome (99999999).

The spelling of 12109878 in words is "twelve million, one hundred nine thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 19 22 27 29 33 37 38 54 57 58 66 74 87 99 111 114 171 174 198 209 222 261 297 319 333 342 407 418 513 522 551 594 627 638 666 703 783 814 957 999 1026 1073 1102 1221 1254 1406 1566 1653 1881 1914 1998 2109 2146 2442 2871 3219 3306 3663 3762 4218 4959 5643 5742 6061 6327 6438 7326 7733 8613 9657 9918 10989 11286 11803 12122 12654 14877 15466 17226 18183 18981 19314 20387 21978 23199 23606 28971 29754 35409 36366 37962 40774 46398 54549 57942 61161 69597 70818 106227 109098 122322 139194 163647 183483 208791 212454 224257 318681 327294 366966 417582 448514 550449 637362 672771 1100898 1345542 2018313 4036626 6054939 12109878