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14210800 = 245235527
BaseRepresentation
bin110110001101…
…011011110000
3222201222112221
4312031123300
512114221200
61224330424
7231534622
oct66153360
928658487
1014210800
11802686a
124913a14
132c37376
141c5cc12
1513aa91a
hexd8d6f0

14210800 has 30 divisors (see below), whose sum is σ = 34142408. Its totient is φ = 5684160.

The previous prime is 14210773. The next prime is 14210809. The reversal of 14210800 is 801241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14210809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17364 + ... + 18163.

Almost surely, 214210800 is an apocalyptic number.

14210800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14210800 is an abundant number, since it is smaller than the sum of its proper divisors (19931608).

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

14210800 is a wasteful number, since it uses less digits than its factorization.

14210800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35545 (or 35534 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 14210800 is about 3769.7214751225. The cubic root of 14210800 is about 242.2178672293.

The spelling of 14210800 in words is "fourteen million, two hundred ten thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35527 71054 142108 177635 284216 355270 568432 710540 888175 1421080 1776350 2842160 3552700 7105400 14210800