Search a number
-
+
12969936 = 243374289
BaseRepresentation
bin110001011110…
…011111010000
3220101221102000
4301132133100
511310014221
61141554000
7215146140
oct61363720
926357360
1012969936
117359561
124415900
1328c1625
141a18920
151212e26
hexc5e7d0

12969936 has 80 divisors (see below), whose sum is σ = 42556800. Its totient is φ = 3704832.

The previous prime is 12969919. The next prime is 12969937. The reversal of 12969936 is 63996921.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12969891 and 12969900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12969937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (531960).

Almost surely, 212969936 is an apocalyptic number.

12969936 is a gapful number since it is divisible by the number (16) 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 12969936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278400).

12969936 is an abundant number, since it is smaller than the sum of its proper divisors (29586864).

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

12969936 is a wasteful number, since it uses less digits than its factorization.

12969936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4301 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 12969936 is about 3601.3797356013. The cubic root of 12969936 is about 234.9520711067.

The spelling of 12969936 in words is "twelve million, nine hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4289 8578 12867 17156 25734 30023 34312 38601 51468 60046 68624 77202 90069 102936 115803 120092 154404 180138 205872 231606 240184 270207 308808 360276 463212 480368 540414 617616 720552 810621 926424 1080828 1441104 1621242 1852848 2161656 3242484 4323312 6484968 12969936