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12968300 = 2252413163
BaseRepresentation
bin110001011110…
…000101101100
3220101212011102
4301132011230
511304441200
61141542232
7215141312
oct61360554
926355142
1012968300
117358304
124414978
1328c0967
141a180b2
1512126d5
hexc5e16c

12968300 has 36 divisors (see below), whose sum is σ = 28836696. Its totient is φ = 5059200.

The previous prime is 12968281. The next prime is 12968303. The reversal of 12968300 is 386921.

12968300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12968303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2519 + ... + 5681.

Almost surely, 212968300 is an apocalyptic number.

12968300 is a gapful number since it is divisible by the number (10) 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 12968300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418348).

12968300 is an abundant number, since it is smaller than the sum of its proper divisors (15868396).

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

12968300 is a wasteful number, since it uses less digits than its factorization.

12968300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12968300 is about 3601.1525932679. The cubic root of 12968300 is about 234.9421919073.

The spelling of 12968300 in words is "twelve million, nine hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 3163 4100 6326 12652 15815 31630 63260 79075 129683 158150 259366 316300 518732 648415 1296830 2593660 3242075 6484150 12968300