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14420766 = 233124161
BaseRepresentation
bin110111000000…
…101100011110
31000010122120110
4313000230132
512142431031
61233030450
7233401023
oct67005436
930118513
1014420766
11815a598
1249b5426
132cabac9
141cb554a
1513ecc46
hexdc0b1e

14420766 has 48 divisors (see below), whose sum is σ = 31029264. Its totient is φ = 4464000.

The previous prime is 14420719. The next prime is 14420779. The reversal of 14420766 is 66702441.

14420766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 236376 + ... + 236436.

It is an arithmetic number, because the mean of its divisors is an integer number (646443).

Almost surely, 214420766 is an apocalyptic number.

14420766 is an abundant number, since it is smaller than the sum of its proper divisors (16608498).

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

14420766 is a wasteful number, since it uses less digits than its factorization.

14420766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 14420766 is about 3797.4683672152. The cubic root of 14420766 is about 243.4049708804.

It can be divided in two parts, 144 and 20766, that added together give a triangular number (20910 = T204).

The spelling of 14420766 in words is "fourteen million, four hundred twenty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 31 41 61 62 82 93 122 123 183 186 246 366 961 1271 1891 1922 2501 2542 2883 3782 3813 5002 5673 5766 7503 7626 11346 15006 39401 58621 77531 78802 117242 118203 155062 175863 232593 236406 351726 465186 2403461 4806922 7210383 14420766