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14314160 = 245725561
BaseRepresentation
bin110110100110…
…101010110000
3222221020100002
4312212222300
512131023120
61230445132
7232445150
oct66465260
928836302
1014314160
118097493
1249637a8
132c72423
141c88760
1513cb375
hexda6ab0

14314160 has 40 divisors (see below), whose sum is σ = 38036256. Its totient is φ = 4907520.

The previous prime is 14314159. The next prime is 14314169. The reversal of 14314160 is 6141341.

14314160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14314169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12221 + ... + 13340.

Almost surely, 214314160 is an apocalyptic number.

14314160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314160 is an abundant number, since it is smaller than the sum of its proper divisors (23722096).

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

14314160 is a wasteful number, since it uses less digits than its factorization.

14314160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25581 (or 25575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 14314160 is about 3783.4058730197. The cubic root of 14314160 is about 242.8036936255.

The spelling of 14314160 in words is "fourteen million, three hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 25561 51122 102244 127805 178927 204488 255610 357854 408976 511220 715708 894635 1022440 1431416 1789270 2044880 2862832 3578540 7157080 14314160