Search a number
-
+
12998016 = 27333761
BaseRepresentation
bin110001100101…
…010110000000
3220110100221000
4301211112000
511311414031
61142332000
7215324043
oct61452600
926410830
1012998016
117378669
12442a000
132901345
141a24c5a
15121b3e6
hexc65580

12998016 has 64 divisors (see below), whose sum is σ = 38372400. Its totient is φ = 4331520.

The previous prime is 12997987. The next prime is 12998053. The reversal of 12998016 is 61089921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1576 + ... + 5336.

Almost surely, 212998016 is an apocalyptic number.

12998016 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 12998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186200).

12998016 is an abundant number, since it is smaller than the sum of its proper divisors (25374384).

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

12998016 is an equidigital number, since it uses as much as digits as its factorization.

12998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12998016 is about 3605.2761336685. The cubic root of 12998016 is about 235.1215065019.

The spelling of 12998016 in words is "twelve million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3761 7522 11283 15044 22566 30088 33849 45132 60176 67698 90264 101547 120352 135396 180528 203094 240704 270792 361056 406188 481408 541584 722112 812376 1083168 1444224 1624752 2166336 3249504 4332672 6499008 12998016