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12746016 = 253244257
BaseRepresentation
bin110000100111…
…110100100000
3212222120020200
4300213310200
511230333031
61133105200
7213224253
oct60476440
925876220
1012746016
1172162a8
124328200
13284372a
14199b09a
1511bb8e6
hexc27d20

12746016 has 36 divisors (see below), whose sum is σ = 36247302. Its totient is φ = 4248576.

The previous prime is 12745981. The next prime is 12746021. The reversal of 12746016 is 61064721.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 4928400 = 2796^2 + 2220^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21841 + ... + 22416.

Almost surely, 212746016 is an apocalyptic number.

12746016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12746016 is an abundant number, since it is smaller than the sum of its proper divisors (23501286).

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

12746016 is a wasteful number, since it uses less digits than its factorization.

12746016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44273 (or 44262 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12746016 is about 3570.1562990995. The cubic root of 12746016 is about 233.5921011278.

The spelling of 12746016 in words is "twelve million, seven hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44257 88514 132771 177028 265542 354056 398313 531084 708112 796626 1062168 1416224 1593252 2124336 3186504 4248672 6373008 12746016