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14120379 = 337213821
BaseRepresentation
bin110101110111…
…010110111011
3222120101112000
4311313112323
512103323004
61222352043
7231010200
oct65672673
928511460
1014120379
117a74939
12488b623
132c05170
141c37ca7
15138dc39
hexd775bb

14120379 has 48 divisors (see below), whose sum is σ = 26238240. Its totient is φ = 7439040.

The previous prime is 14120377. The next prime is 14120399. The reversal of 14120379 is 97302141.

14120379 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14120379 - 21 = 14120377 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (14120377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16789 + ... + 17609.

It is an arithmetic number, because the mean of its divisors is an integer number (546630).

Almost surely, 214120379 is an apocalyptic number.

14120379 is a deficient number, since it is larger than the sum of its proper divisors (12117861).

14120379 is a wasteful number, since it uses less digits than its factorization.

14120379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14120379 is about 3757.7092756093. The cubic root of 14120379 is about 241.7030428530.

The spelling of 14120379 in words is "fourteen million, one hundred twenty thousand, three hundred seventy-nine".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 821 1323 1911 2457 2463 5733 5747 7389 10673 17199 17241 22167 32019 40229 51723 74711 96057 120687 155169 224133 288171 362061 522977 672399 1086183 1568931 2017197 4706793 14120379