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12960486 = 2347111039
BaseRepresentation
bin110001011100…
…001011100110
3220101110110000
4301130023212
511304213421
61141442130
7215106450
oct61341346
926343400
1012960486
117352450
124410346
1328ba236
141a152d0
151210226
hexc5c2e6

12960486 has 80 divisors (see below), whose sum is σ = 36241920. Its totient is φ = 3363120.

The previous prime is 12960473. The next prime is 12960491. The reversal of 12960486 is 68406921.

12960486 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12960486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11955 + ... + 12993.

It is an arithmetic number, because the mean of its divisors is an integer number (453024).

Almost surely, 212960486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120960).

12960486 is an abundant number, since it is smaller than the sum of its proper divisors (23281434).

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

12960486 is a wasteful number, since it uses less digits than its factorization.

12960486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12960486 is about 3600.0674993672. The cubic root of 12960486 is about 234.8949945842.

The spelling of 12960486 in words is "twelve million, nine hundred sixty thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1039 1134 1386 1782 2078 2079 3117 4158 6234 6237 7273 9351 11429 12474 14546 18702 21819 22858 28053 34287 43638 56106 65457 68574 80003 84159 102861 130914 160006 168318 196371 205722 240009 308583 392742 480018 589113 617166 720027 925749 1178226 1440054 1851498 2160081 4320162 6480243 12960486