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14109300 = 22325261257
BaseRepresentation
bin110101110100…
…101001110100
3222112211022200
4311310221310
512102444200
61222224500
7230632662
oct65645164
928484280
1014109300
117a67587
124885130
132c000ca
141c33c32
15138a800
hexd74a74

14109300 has 108 divisors (see below), whose sum is σ = 45124716. Its totient is φ = 3686400.

The previous prime is 14109241. The next prime is 14109301. The reversal of 14109300 is 390141.

It can be written as a sum of positive squares in 6 ways, for example, as 181476 + 13927824 = 426^2 + 3732^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14109301) 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 35 ways as a sum of consecutive naturals, for example, 54772 + ... + 55028.

Almost surely, 214109300 is an apocalyptic number.

14109300 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 14109300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562358).

14109300 is an abundant number, since it is smaller than the sum of its proper divisors (31015416).

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

14109300 is a wasteful number, since it uses less digits than its factorization.

14109300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 14109300 is about 3756.2348169410. The cubic root of 14109300 is about 241.6398120510.

Adding to 14109300 its reverse (390141), we get a palindrome (14499441).

The spelling of 14109300 in words is "fourteen million, one hundred nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 257 300 305 366 450 514 549 610 732 771 900 915 1028 1098 1220 1285 1525 1542 1830 2196 2313 2570 2745 3050 3084 3660 3855 4575 4626 5140 5490 6100 6425 7710 9150 9252 10980 11565 12850 13725 15420 15677 18300 19275 23130 25700 27450 31354 38550 46260 47031 54900 57825 62708 77100 78385 94062 115650 141093 156770 188124 231300 235155 282186 313540 391925 470310 564372 705465 783850 940620 1175775 1410930 1567700 2351550 2821860 3527325 4703100 7054650 14109300