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14104320 = 28353673
BaseRepresentation
bin110101110011…
…011100000000
3222112120111020
4311303130000
512102314240
61222145440
7230612316
oct65633400
928476436
1014104320
117a6386a
124882280
132bcaa69
141c320b6
1513890d0
hexd73700

14104320 has 72 divisors (see below), whose sum is σ = 45057936. Its totient is φ = 3760128.

The previous prime is 14104309. The next prime is 14104331. The reversal of 14104320 is 2340141.

It is an interprime number because it is at equal distance from previous prime (14104309) and next prime (14104331).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14104320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2004 + ... + 5676.

Almost surely, 214104320 is an apocalyptic number.

14104320 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 14104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22528968).

14104320 is an abundant number, since it is smaller than the sum of its proper divisors (30953616).

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

14104320 is an equidigital number, since it uses as much as digits as its factorization.

14104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14104320 is about 3755.5718605826. The cubic root of 14104320 is about 241.6113790819.

Adding to 14104320 its reverse (2340141), we get a palindrome (16444461).

The spelling of 14104320 in words is "fourteen million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3673 3840 7346 11019 14692 18365 22038 29384 36730 44076 55095 58768 73460 88152 110190 117536 146920 176304 220380 235072 293840 352608 440760 470144 587680 705216 881520 940288 1175360 1410432 1763040 2350720 2820864 3526080 4701440 7052160 14104320