Search a number
-
+
12056616 = 233211131171
BaseRepresentation
bin101101111111…
…100000101000
3211200112120100
4231333200220
511041302431
61110225400
7204323325
oct55774050
924615510
1012056616
116895350
124055260
1326619c0
14185bb4c
1510d24e6
hexb7f828

12056616 has 96 divisors (see below), whose sum is σ = 38394720. Its totient is φ = 3369600.

The previous prime is 12056609. The next prime is 12056617. The reversal of 12056616 is 61665021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12056616.

It is not an unprimeable number, because it can be changed into a prime (12056617) 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 23 ways as a sum of consecutive naturals, for example, 9711 + ... + 10881.

It is an arithmetic number, because the mean of its divisors is an integer number (399945).

Almost surely, 212056616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12056616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19197360).

12056616 is an abundant number, since it is smaller than the sum of its proper divisors (26338104).

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

12056616 is a wasteful number, since it uses less digits than its factorization.

12056616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12056616 is about 3472.2638148620. The cubic root of 12056616 is about 229.3023345367.

The spelling of 12056616 in words is "twelve million, fifty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1171 1287 1716 2342 2574 3432 3513 4684 5148 7026 9368 10296 10539 12881 14052 15223 21078 25762 28104 30446 38643 42156 45669 51524 60892 77286 84312 91338 103048 115929 121784 137007 154572 167453 182676 231858 274014 309144 334906 365352 463716 502359 548028 669812 927432 1004718 1096056 1339624 1507077 2009436 3014154 4018872 6028308 12056616