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14116500 = 2232533137
BaseRepresentation
bin110101110110…
…011010010100
3222120012012100
4311312122110
512103212000
61222322100
7230662656
oct65663224
928505170
1014116500
117a71a32
124889330
132c03478
141c366d6
15138ca00
hexd76694

14116500 has 72 divisors (see below), whose sum is σ = 44547048. Its totient is φ = 3763200.

The previous prime is 14116489. The next prime is 14116519. The reversal of 14116500 is 561141.

14116500 is a `hidden beast` number, since 1 + 4 + 11 + 650 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367236 + 13749264 = 606^2 + 3708^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2932 + ... + 6068.

It is an arithmetic number, because the mean of its divisors is an integer number (618709).

Almost surely, 214116500 is an apocalyptic number.

14116500 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 14116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273524).

14116500 is an abundant number, since it is smaller than the sum of its proper divisors (30430548).

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

14116500 is a wasteful number, since it uses less digits than its factorization.

14116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 14116500 is about 3757.1931012393. The cubic root of 14116500 is about 241.6809081315.

Adding to 14116500 its reverse (561141), we get a palindrome (14677641).

It can be divided in two parts, 141 and 16500, that added together give a square (16641 = 1292).

The spelling of 14116500 in words is "fourteen million, one hundred sixteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 3137 4500 6274 9411 12548 15685 18822 28233 31370 37644 47055 56466 62740 78425 94110 112932 141165 156850 188220 235275 282330 313700 392125 470550 564660 705825 784250 941100 1176375 1411650 1568500 2352750 2823300 3529125 4705500 7058250 14116500