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14046660 = 22325731069
BaseRepresentation
bin110101100101…
…010111000100
3222102122101200
4311211113010
512043443120
61221022500
7230252235
oct65452704
928378350
1014046660
117a24511
124854a30
132baa744
141c1908c
151376e90
hexd655c4

14046660 has 72 divisors (see below), whose sum is σ = 43232280. Its totient is φ = 3691008.

The previous prime is 14046649. The next prime is 14046679. The reversal of 14046660 is 6664041.

14046660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 12489156 = 1248^2 + 3534^2 .

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, 12606 + ... + 13674.

Almost surely, 214046660 is an apocalyptic number.

14046660 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 14046660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21616140).

14046660 is an abundant number, since it is smaller than the sum of its proper divisors (29185620).

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

14046660 is a wasteful number, since it uses less digits than its factorization.

14046660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14046660 is about 3747.8874049256. The cubic root of 14046660 is about 241.2816848323.

It can be divided in two parts, 14046 and 660, that added together give a triangular number (14706 = T171).

The spelling of 14046660 in words is "fourteen million, forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1069 1095 1314 1460 2138 2190 2628 3207 3285 4276 4380 5345 6414 6570 9621 10690 12828 13140 16035 19242 21380 32070 38484 48105 64140 78037 96210 156074 192420 234111 312148 390185 468222 702333 780370 936444 1170555 1404666 1560740 2341110 2809332 3511665 4682220 7023330 14046660