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14406660 = 223458893
BaseRepresentation
bin110110111101…
…010000000100
31000002221020000
4312331100010
512142003120
61232441300
7233311632
oct66752004
930087200
1014406660
11814aa34
1249a9230
132ca5568
141cb0352
1513e8990
hexdbd404

14406660 has 60 divisors (see below), whose sum is σ = 45199308. Its totient is φ = 3841344.

The previous prime is 14406643. The next prime is 14406673. The reversal of 14406660 is 6660441.

It can be written as a sum of positive squares in 2 ways, for example, as 3437316 + 10969344 = 1854^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2827 + ... + 6066.

Almost surely, 214406660 is an apocalyptic number.

14406660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14406660 is an abundant number, since it is smaller than the sum of its proper divisors (30792648).

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

14406660 is a wasteful number, since it uses less digits than its factorization.

14406660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914 (or 8903 counting only the distinct ones).

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

The square root of 14406660 is about 3795.6106228116. The cubic root of 14406660 is about 243.3255809544.

It can be divided in two parts, 1440 and 6660, that added together give a square (8100 = 902).

The spelling of 14406660 in words is "fourteen million, four hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8893 17786 26679 35572 44465 53358 80037 88930 106716 133395 160074 177860 240111 266790 320148 400185 480222 533580 720333 800370 960444 1200555 1440666 1600740 2401110 2881332 3601665 4802220 7203330 14406660