[go: up one dir, main page]

Search a number
-
+
12989808 = 243513257
BaseRepresentation
bin110001100011…
…010101110000
3220102221200000
4301203111300
511311133213
61142230000
7215261106
oct61432560
926387600
1012989808
117372487
124425300
1328ca6a0
141a21c76
151218c73
hexc63570

12989808 has 120 divisors (see below), whose sum is σ = 40757808. Its totient is φ = 3981312.

The previous prime is 12989807. The next prime is 12989861. The reversal of 12989808 is 80898921.

It is a super-2 number, since 2×129898082 = 337470223753728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12989803) 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 23 ways as a sum of consecutive naturals, for example, 50416 + ... + 50672.

Almost surely, 212989808 is an apocalyptic number.

12989808 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 12989808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378904).

12989808 is an abundant number, since it is smaller than the sum of its proper divisors (27768000).

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

12989808 is a wasteful number, since it uses less digits than its factorization.

12989808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 12989808 is about 3604.1376222336. The cubic root of 12989808 is about 235.0720044934.

The spelling of 12989808 in words is "twelve million, nine hundred eighty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 257 312 324 351 432 468 486 514 624 648 702 771 936 972 1028 1053 1296 1404 1542 1872 1944 2056 2106 2313 2808 3084 3159 3341 3888 4112 4212 4626 5616 6168 6318 6682 6939 8424 9252 10023 12336 12636 13364 13878 16848 18504 20046 20817 25272 26728 27756 30069 37008 40092 41634 50544 53456 55512 60138 62451 80184 83268 90207 111024 120276 124902 160368 166536 180414 240552 249804 270621 333072 360828 481104 499608 541242 721656 811863 999216 1082484 1443312 1623726 2164968 3247452 4329936 6494904 12989808