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14125800 = 23352131811
BaseRepresentation
bin110101111000…
…101011101000
3222120122221210
4311320223220
512104011200
61222433120
7231032043
oct65705350
928518853
1014125800
117a78a17
1248927a0
132c07780
141c39c5a
151390650
hexd78ae8

14125800 has 96 divisors (see below), whose sum is σ = 47184480. Its totient is φ = 3475200.

The previous prime is 14125799. The next prime is 14125807. The reversal of 14125800 is 852141.

It is not an unprimeable number, because it can be changed into a prime (14125807) 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 23 ways as a sum of consecutive naturals, for example, 6895 + ... + 8705.

It is an arithmetic number, because the mean of its divisors is an integer number (491505).

Almost surely, 214125800 is an apocalyptic number.

14125800 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 14125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592240).

14125800 is an abundant number, since it is smaller than the sum of its proper divisors (33058680).

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

14125800 is a wasteful number, since it uses less digits than its factorization.

14125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 14125800 is about 3758.4305235031. The cubic root of 14125800 is about 241.7339698924.

Adding to 14125800 its reverse (852141), we get a palindrome (14977941).

The spelling of 14125800 in words is "fourteen million, one hundred twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1811 1950 2600 3622 3900 5433 7244 7800 9055 10866 14488 18110 21732 23543 27165 36220 43464 45275 47086 54330 70629 72440 90550 94172 108660 117715 135825 141258 181100 188344 217320 235430 271650 282516 353145 362200 470860 543300 565032 588575 706290 941720 1086600 1177150 1412580 1765725 2354300 2825160 3531450 4708600 7062900 14125800