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12980016 = 2432779163
BaseRepresentation
bin110001100000…
…111100110000
3220102110020100
4301200330300
511310330031
61142112400
7215220420
oct61407460
926373210
1012980016
117366095
12441b700
1328c60aa
141a1c480
151215de6
hexc60f30

12980016 has 120 divisors (see below), whose sum is σ = 42298880. Its totient is φ = 3639168.

The previous prime is 12979987. The next prime is 12980029. The reversal of 12980016 is 61008921.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79551 + ... + 79713.

Almost surely, 212980016 is an apocalyptic number.

12980016 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 12980016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149440).

12980016 is an abundant number, since it is smaller than the sum of its proper divisors (29318864).

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

12980016 is a wasteful number, since it uses less digits than its factorization.

12980016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12980016 is about 3602.7789274392. The cubic root of 12980016 is about 235.0129221806.

Adding to 12980016 its reverse (61008921), we get a palindrome (73988937).

The spelling of 12980016 in words is "twelve million, nine hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 112 126 144 158 163 168 237 252 316 326 336 474 489 504 553 632 652 711 948 978 1008 1106 1141 1264 1304 1422 1467 1659 1896 1956 2212 2282 2608 2844 2934 3318 3423 3792 3912 4424 4564 4977 5688 5868 6636 6846 7824 8848 9128 9954 10269 11376 11736 12877 13272 13692 18256 19908 20538 23472 25754 26544 27384 38631 39816 41076 51508 54768 77262 79632 82152 90139 103016 115893 154524 164304 180278 206032 231786 270417 309048 360556 463572 540834 618096 721112 811251 927144 1081668 1442224 1622502 1854288 2163336 3245004 4326672 6490008 12980016