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14106000 = 243532351
BaseRepresentation
bin110101110011…
…110110010000
3222112122210110
4311303312100
512102343000
61222201320
7230620236
oct65636620
928478713
1014106000
117a65057
124883240
132bcb75c
141c32956
151389850
hexd73d90

14106000 has 80 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 3760000.

The previous prime is 14105957. The next prime is 14106011. The reversal of 14106000 is 60141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4825 + ... + 7175.

Almost surely, 214106000 is an apocalyptic number.

14106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

14106000 is an abundant number, since it is smaller than the sum of its proper divisors (31391088).

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

14106000 is a wasteful number, since it uses less digits than its factorization.

14106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14106000 is about 3755.7955215906. The cubic root of 14106000 is about 241.6209716749.

Adding to 14106000 its reverse (60141), we get a palindrome (14166141).

The spelling of 14106000 in words is "fourteen million, one hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2351 3000 4702 6000 7053 9404 11755 14106 18808 23510 28212 35265 37616 47020 56424 58775 70530 94040 112848 117550 141060 176325 188080 235100 282120 293875 352650 470200 564240 587750 705300 881625 940400 1175500 1410600 1763250 2351000 2821200 3526500 4702000 7053000 14106000