| Base | Representation |
|---|---|
| bin | 110001100001… |
| … | …100101010000 |
| 3 | 220102120210100 |
| 4 | 301201211100 |
| 5 | 11310420413 |
| 6 | 1142132400 |
| 7 | 215231112 |
| oct | 61414520 |
| 9 | 26376710 |
| 10 | 12982608 |
| 11 | 7368031 |
| 12 | 4421100 |
| 13 | 28c7322 |
| 14 | 1a1d3b2 |
| 15 | 1216a73 |
| hex | c61950 |
12982608 has 60 divisors (see below), whose sum is σ = 36777780. Its totient is φ = 4274688.
The previous prime is 12982601. The next prime is 12982621. The reversal of 12982608 is 80628921.
It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 12194064 = 888^2 + 3492^2 .
It is a super-2 number, since 2×129826082 = 337096220963328, which contains 22 as substring.
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 Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12982601) 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, 12310 + ... + 13322.
It is an arithmetic number, because the mean of its divisors is an integer number (612963).
Almost surely, 212982608 is an apocalyptic number.
12982608 is a gapful number since it is divisible by the number (18) 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 12982608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388890).
12982608 is an abundant number, since it is smaller than the sum of its proper divisors (23795172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12982608 is a wasteful number, since it uses less digits than its factorization.
12982608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1116 (or 1107 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 12982608 is about 3603.1386318042. The cubic root of 12982608 is about 235.0285645073.
The spelling of 12982608 in words is "twelve million, nine hundred eighty-two thousand, six hundred eight".
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