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14313000 = 2335313367
BaseRepresentation
bin110110100110…
…011000101000
3222221011202010
4312212120220
512131004000
61230435520
7232441602
oct66463050
928834663
1014313000
118096629
124962ba0
132c71a40
141c88172
1513cad50
hexda6628

14313000 has 128 divisors (see below), whose sum is σ = 48222720. Its totient is φ = 3513600.

The previous prime is 14312989. The next prime is 14313001. The reversal of 14313000 is 31341.

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

It is not an unprimeable number, because it can be changed into a prime (14313001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38817 + ... + 39183.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 214313000 is an apocalyptic number.

14313000 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 14313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24111360).

14313000 is an abundant number, since it is smaller than the sum of its proper divisors (33909720).

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

14313000 is a wasteful number, since it uses less digits than its factorization.

14313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 14313000 is about 3783.2525688883. The cubic root of 14313000 is about 242.7971346216.

Adding to 14313000 its reverse (31341), we get a palindrome (14344341).

The spelling of 14313000 in words is "fourteen million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 367 375 390 500 520 600 650 734 750 780 975 1000 1101 1300 1468 1500 1560 1625 1835 1950 2202 2600 2936 3000 3250 3670 3900 4404 4771 4875 5505 6500 7340 7800 8808 9175 9542 9750 11010 13000 14313 14680 18350 19084 19500 22020 23855 27525 28626 36700 38168 39000 44040 45875 47710 55050 57252 71565 73400 91750 95420 110100 114504 119275 137625 143130 183500 190840 220200 238550 275250 286260 357825 367000 477100 550500 572520 596375 715650 954200 1101000 1192750 1431300 1789125 2385500 2862600 3578250 4771000 7156500 14313000